Sr Examen

Otras calculadoras

(x*sqrt(ln(x)*(ctg(x))^3)/((x^5+9)^8*(2-3x)^(1/3)))^1/3

  • ¿Cómo usar?

  • Derivada de:
  • Derivada de y'=ax+b
  • Derivada de (y^5-5*y^3+2*y)/y^3 Derivada de (y^5-5*y^3+2*y)/y^3
  • Derivada de y=(-3+6x)^7 Derivada de y=(-3+6x)^7
  • Derivada de y=12 Derivada de y=12

  • Expresiones idénticas

  • (x*sqrt(ln(x)*(ctg(x))^ tres)/((x^ cinco + nueve)^ ocho *(dos - tres x)^(uno / tres)))^ uno /3
  • (x multiplicar por raíz cuadrada de (ln(x) multiplicar por (ctg(x)) al cubo ) dividir por ((x en el grado 5 más 9) en el grado 8 multiplicar por (2 menos 3x) en el grado (1 dividir por 3))) en el grado 1 dividir por 3
  • (x multiplicar por raíz cuadrada de (ln(x) multiplicar por (ctg(x)) en el grado tres) dividir por ((x en el grado cinco más nueve) en el grado ocho multiplicar por (dos menos tres x) en el grado (uno dividir por tres))) en el grado uno dividir por 3
  • (x*√(ln(x)*(ctg(x))^3)/((x^5+9)^8*(2-3x)^(1/3)))^1/3
  • (x*sqrt(ln(x)*(ctg(x))3)/((x5+9)8*(2-3x)(1/3)))1/3
  • x*sqrtlnx*ctgx3/x5+98*2-3x1/31/3
  • (x*sqrt(ln(x)*(ctg(x))³)/((x⁵+9)⁸*(2-3x)^(1/3)))^1/3
  • (x*sqrt(ln(x)*(ctg(x)) en el grado 3)/((x en el grado 5+9) en el grado 8*(2-3x) en el grado (1/3))) en el grado 1/3
  • (xsqrt(ln(x)(ctg(x))^3)/((x^5+9)^8(2-3x)^(1/3)))^1/3
  • (xsqrt(ln(x)(ctg(x))3)/((x5+9)8(2-3x)(1/3)))1/3
  • xsqrtlnxctgx3/x5+982-3x1/31/3
  • xsqrtlnxctgx^3/x^5+9^82-3x^1/3^1/3
  • (x*sqrt(ln(x)*(ctg(x))^3) dividir por ((x^5+9)^8*(2-3x)^(1 dividir por 3)))^1 dividir por 3

  • Expresiones semejantes

  • (x*sqrt(ln(x)*(ctg(x))^3)/((x^5-9)^8*(2-3x)^(1/3)))^1/3
  • (x*sqrt(ln(x)*(ctg(x))^3)/((x^5+9)^8*(2+3x)^(1/3)))^1/3
Derivada de la función/ (x*sqrt(ln(x)*(ctg(x))^3)/((x^5+9)^8*(2-3x)^(1/3)))^1/3

Derivada de (x*sqrt(ln(x)*(ctg(x))^3)/((x^5+9)^8*(2-3x)^(1/3)))^1/3

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
        _______________________
       /      ________________ 
      /      /           3     
     /   x*\/  log(x)*cot (x)  
    /    --------------------- 
   /             8             
3 /      / 5    \  3 _________ 
\/       \x  + 9/ *\/ 2 - 3*x
xlog⁡(x)cot⁡3(x)2−3x3(x5+9)83\sqrt[3]{\frac{x \sqrt{\log{\left(x \right)} \cot^{3}{\left(x \right)}}}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)^{8}}} 
((x*sqrt(log(x)*cot(x)^3))/(((x^5 + 9)^8*(2 - 3*x)^(1/3))))^(1/3)
Gráfica
02468-8-6-4-2-10100.02-0.02
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                                                                           /                      /                           ________________ /   3         2    /          2   \       \\                                                                     \
                                                                           |                      |                          /    3            |cot (x)   cot (x)*\-3 - 3*cot (x)/*log(x)||                                                                     |
                                                                           |                      |   ________________   x*\/  cot (x)*log(x) *|------- + -------------------------------||                         /         8                                \|
                                                                           |          1           |  /           3                             \  2*x                    2               /|        ________________ | / 5    \                                7||
                                                                           |---------------------*|\/  log(x)*cot (x)  + -----------------------------------------------------------------|       /    3            | \x  + 9/          4 3 _________ / 5    \ ||
       _____________________________________________                       |                    8 |                                                   3                                   |   x*\/  cot (x)*log(x) *|------------ - 40*x *\/ 2 - 3*x *\x  + 9/ ||
      /      ________________                                            8 |3 _________ / 5    \  \                                                cot (x)*log(x)                         /                         |         2/3                              ||
     /      /    3                      1            3 _________ / 5    \  |\/ 2 - 3*x *\x  + 9/                                                                                                                    \(2 - 3*x)                                 /|
    /   x*\/  cot (x)*log(x) *--------------------- *\/ 2 - 3*x *\x  + 9/ *|--------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------|
   /                                              8                        |                                                       3                                                                                                     16                     |
3 /                           3 _________ / 5    \                         |                                                                                                                                                 2/3 / 5    \                       |
\/                            \/ 2 - 3*x *\x  + 9/                         \                                                                                                                                      3*(2 - 3*x)   *\x  + 9/                       /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                           ________________                                                                                                                      
                                                                                                                          /    3                                                                                                                                 
                                                                                                                      x*\/  cot (x)*log(x)
x12−3x3(x5+9)8log⁡(x)cot⁡3(x)32−3x3(x5+9)8(xlog⁡(x)cot⁡3(x)(−40x42−3x3(x5+9)7+(x5+9)8(2−3x)23)3(2−3x)23(x5+9)16+12−3x3(x5+9)8(xlog⁡(x)cot⁡3(x)((−3cot⁡2(x)−3)log⁡(x)cot⁡2(x)2+cot⁡3(x)2x)log⁡(x)cot⁡3(x)+log⁡(x)cot⁡3(x))3)xlog⁡(x)cot⁡3(x)\frac{\sqrt[3]{x \frac{1}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)^{8}} \sqrt{\log{\left(x \right)} \cot^{3}{\left(x \right)}}} \sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)^{8} \left(\frac{x \sqrt{\log{\left(x \right)} \cot^{3}{\left(x \right)}} \left(- 40 x^{4} \sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)^{7} + \frac{\left(x^{5} + 9\right)^{8}}{\left(2 - 3 x\right)^{\frac{2}{3}}}\right)}{3 \left(2 - 3 x\right)^{\frac{2}{3}} \left(x^{5} + 9\right)^{16}} + \frac{\frac{1}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)^{8}} \left(\frac{x \sqrt{\log{\left(x \right)} \cot^{3}{\left(x \right)}} \left(\frac{\left(- 3 \cot^{2}{\left(x \right)} - 3\right) \log{\left(x \right)} \cot^{2}{\left(x \right)}}{2} + \frac{\cot^{3}{\left(x \right)}}{2 x}\right)}{\log{\left(x \right)} \cot^{3}{\left(x \right)}} + \sqrt{\log{\left(x \right)} \cot^{3}{\left(x \right)}}\right)}{3}\right)}{x \sqrt{\log{\left(x \right)} \cot^{3}{\left(x \right)}}}
Simplificar
Segunda derivada [src] 
                                /                                                                                              /                                                                                                                                                           /   2                     2                                             /       2   \       \                                                                                                                                                                                                                                                                                                                                                                                                            \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \
                                |                                                                                              |                                                                                                                                                           |cot (x)     /       2   \                2    /       2   \          6*\1 + cot (x)/*cot(x)|                                        2                                                                                                                                                                                                 /           2                                                                     \                                                                               |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               |
                                |                                                                                              |                                                                                       /  cot(x)     /       2   \       \                             2*x*|------- - 6*\1 + cot (x)/ *log(x) - 6*cot (x)*\1 + cot (x)/*log(x) + ----------------------|     /  cot(x)     /       2   \       \        /       2   \ /  cot(x)     /       2   \       \     /          5                       \          /          5                       \       /          5                       \       |   /     5\                               4 /     5\                             |                                           /          5                       \|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               |
                                |  /                                                 /          5                       \\     |                                                                                     2*|- ------ + 3*\1 + cot (x)/*log(x)|                                 |    2                                                                          x           |   x*|- ------ + 3*\1 + cot (x)/*log(x)|    6*x*\1 + cot (x)/*|- ------ + 3*\1 + cot (x)/*log(x)|     |     9 + x           4 3 _________|        5 |     9 + x           4 3 _________|       |     9 + x           4 3 _________|       |   \9 + x /           8 3 _________   40*x *\9 + x /       3 3 _________ /     5\|       /  cot(x)     /       2   \       \ |     9 + x           4 3 _________||                                                                           /                                                 /          5                       \\          /                                                 /          5                       \\     /                                                 /          5                       \\                                         /                                                 /          5                       \\|
                                |  |                                                 |     9 + x           4 3 _________||     |    /       /  cot(x)     /       2   \       \\                          4*cot(x)     \    x                            /      /       2   \              \   x                                                                                       /     \    x                            /                      \    x                            /   4*|- ------------ + 40*x *\/ 2 - 3*x |   320*x *|- ------------ + 40*x *\/ 2 - 3*x |   8*x*|- ------------ + 40*x *\/ 2 - 3*x |   8*x*|- ------------ + 700*x *\/ 2 - 3*x  - -------------- + 80*x *\/ 2 - 3*x *\9 + x /|   2*x*|- ------ + 3*\1 + cot (x)/*log(x)|*|- ------------ + 40*x *\/ 2 - 3*x ||                                                                           |                                                 |     9 + x           4 3 _________||          |                                                 |     9 + x           4 3 _________||     |                                                 |     9 + x           4 3 _________||                                         |                                                 |     9 + x           4 3 _________|||
                                |  |       /  cot(x)     /       2   \       \   2*x*|- ------------ + 40*x *\/ 2 - 3*x ||     |    |     x*|- ------ + 3*\1 + cot (x)/*log(x)|| /                4 \   - -------- - ------------------------------------- + 12*\1 + cot (x)/*log(x) + ------------------------------------------------------------------------------------------------- - -------------------------------------- + -----------------------------------------------------     |           2/3                    |          |           2/3                    |       |           2/3                    |       |           5/3                                  2/3                              |       \    x                            / |           2/3                    ||   /                                  /  cot(x)     /       2   \       \\ |       /  cot(x)     /       2   \       \   2*x*|- ------------ + 40*x *\/ 2 - 3*x ||          |       /  cot(x)     /       2   \       \   2*x*|- ------------ + 40*x *\/ 2 - 3*x ||     |       /  cot(x)     /       2   \       \   2*x*|- ------------ + 40*x *\/ 2 - 3*x ||                                         |       /  cot(x)     /       2   \       \   2*x*|- ------------ + 40*x *\/ 2 - 3*x |||
                                |  |     x*|- ------ + 3*\1 + cot (x)/*log(x)|       |           2/3                    ||     |    |       \    x                            /| |     1      40*x  |        x                       log(x)                                                                                          cot(x)                                                            cot(x)*log(x)                                        cot(x)                            \  (2 - 3*x)                       /          \  (2 - 3*x)                       /       \  (2 - 3*x)                       /       \  (2 - 3*x)                            (2 - 3*x)                                 /                                           \  (2 - 3*x)                       /|   |         /                4 \   x*|- ------ + 3*\1 + cot (x)/*log(x)|| |     x*|- ------ + 3*\1 + cot (x)/*log(x)|       |           2/3                    ||          |     x*|- ------ + 3*\1 + cot (x)/*log(x)|       |           2/3                    ||     |     x*|- ------ + 3*\1 + cot (x)/*log(x)|       |           2/3                    ||                                         |     x*|- ------ + 3*\1 + cot (x)/*log(x)|       |           2/3                    |||
        _______________________ |  |       \    x                            /       \  (2 - 3*x)                       /|   3*|- 2*|-2 + -------------------------------------|*|- ------- + ------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------- - ------------------------------------------- + ---------------------------------------- + --------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------|   |         |     1      40*x  |     \    x                            /| |       \    x                            /       \  (2 - 3*x)                       /|        3 |       \    x                            /       \  (2 - 3*x)                       /|     |       \    x                            /       \  (2 - 3*x)                       /|     /  cot(x)     /       2   \       \ |       \    x                            /       \  (2 - 3*x)                       /||
       /      ________________  |3*|-2 + ------------------------------------- + ----------------------------------------|     |    \                 cot(x)*log(x)            / |  2 - 3*x        5|                                                                                                                                     cot(x)*log(x)                                                                                                                                              3 _________ /     5\                                           2                                4/3 /     5\                                                                  2                                                         3 _________ /     5\                                   |   |-2 + 2*x*|- ------- + ------| + -------------------------------------|*|-2 + ------------------------------------- + ----------------------------------------|   120*x *|-2 + ------------------------------------- + ----------------------------------------|   3*|-2 + ------------------------------------- + ----------------------------------------|   3*|- ------ + 3*\1 + cot (x)/*log(x)|*|-2 + ------------------------------------- + ----------------------------------------||
      /      /    3             |  |                 cot(x)*log(x)                         3 _________ /     5\          |     |                                                 \            9 + x /                                                                                                                                                                                                                                                                                                \/ 2 - 3*x *\9 + x /                       3 _________ /     5\                        (2 - 3*x)   *\9 + x /                                              3 _________ /     5\                                                          \/ 2 - 3*x *\9 + x /*cot(x)*log(x)                     |   |         |  2 - 3*x        5|               cot(x)*log(x)            | |                 cot(x)*log(x)                         3 _________ /     5\          |          |                 cot(x)*log(x)                         3 _________ /     5\          |     |                 cot(x)*log(x)                         3 _________ /     5\          |     \    x                            / |                 cot(x)*log(x)                         3 _________ /     5\          ||
     /   x*\/  cot (x)*log(x)   |  \                                                       \/ 2 - 3*x *\9 + x /          /     \                                                                                                                                                                                                                                                                                                                                                                                                                \/ 2 - 3*x *\9 + x /                                                                                           \/ 2 - 3*x *\9 + x /                                                                                                                 /   \         \            9 + x /                                        / \                                                       \/ 2 - 3*x *\9 + x /          /          \                                                       \/ 2 - 3*x *\9 + x /          /     \                                                       \/ 2 - 3*x *\9 + x /          /                                         \                                                       \/ 2 - 3*x *\9 + x /          /|
    /    --------------------- *|----------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------|
   /                         8  |                                             2                                                                                                                                                                                                                                                                                                                                                                                2*x                                                                                                                                                                                                                                                                                                                                                                                                                       2                                                                                                                                 5                                                                                      x*(2 - 3*x)                                                                                                2*x*cot(x)*log(x)                                                      |
3 /      3 _________ /     5\   \                                            x                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2*x                                                                                                                             9 + x                                                                                                                                                                                                                                                                         /
\/       \/ 2 - 3*x *\9 + x /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  18
xlog⁡(x)cot⁡3(x)2−3x3(x5+9)83(−120x3(x(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)log⁡(x)cot⁡(x)+2x(40x42−3x3−x5+9(2−3x)23)2−3x3(x5+9)−2)x5+9−3(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)(x(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)log⁡(x)cot⁡(x)+2x(40x42−3x3−x5+9(2−3x)23)2−3x3(x5+9)−2)2xlog⁡(x)cot⁡(x)−3(−320x5(40x42−3x3−x5+9(2−3x)23)2−3x3(x5+9)2−2x(40x42−3x3−x5+9(2−3x)23)(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)2−3x3(x5+9)log⁡(x)cot⁡(x)+8x(700x82−3x3−40x4(x5+9)(2−3x)23+80x32−3x3(x5+9)−(x5+9)2(2−3x)53)2−3x3(x5+9)2+8x(40x42−3x3−x5+9(2−3x)23)(2−3x)43(x5+9)−2(40x4x5+9−12−3x)(x(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)log⁡(x)cot⁡(x)−2)+−x(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)2log⁡(x)cot⁡(x)+6x(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)(cot⁡2(x)+1)cot⁡(x)+2x(−6(cot⁡2(x)+1)2log⁡(x)−6(cot⁡2(x)+1)log⁡(x)cot⁡2(x)+6(cot⁡2(x)+1)cot⁡(x)x+cot⁡2(x)x2)cot⁡(x)−2(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)log⁡(x)+12(cot⁡2(x)+1)log⁡(x)−4cot⁡(x)xlog⁡(x)cot⁡(x)+4(40x42−3x3−x5+9(2−3x)23)2−3x3(x5+9))2x+3(x(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)log⁡(x)cot⁡(x)+2x(40x42−3x3−x5+9(2−3x)23)2−3x3(x5+9)−2)x(2−3x)+(2x(40x4x5+9−12−3x)+x(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)log⁡(x)cot⁡(x)−2)(x(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)log⁡(x)cot⁡(x)+2x(40x42−3x3−x5+9(2−3x)23)2−3x3(x5+9)−2)2x2+3(x(3(cot⁡2(x)+1)log⁡(x)−cot⁡(x)x)log⁡(x)cot⁡(x)+2x(40x42−3x3−x5+9(2−3x)23)2−3x3(x5+9)−2)x2)18\frac{\sqrt[3]{\frac{x \sqrt{\log{\left(x \right)} \cot^{3}{\left(x \right)}}}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)^{8}}} \left(- \frac{120 x^{3} \left(\frac{x \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right)}{\log{\left(x \right)} \cot{\left(x \right)}} + \frac{2 x \left(40 x^{4} \sqrt[3]{2 - 3 x} - \frac{x^{5} + 9}{\left(2 - 3 x\right)^{\frac{2}{3}}}\right)}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)} - 2\right)}{x^{5} + 9} - \frac{3 \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right) \left(\frac{x \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right)}{\log{\left(x \right)} \cot{\left(x \right)}} + \frac{2 x \left(40 x^{4} \sqrt[3]{2 - 3 x} - \frac{x^{5} + 9}{\left(2 - 3 x\right)^{\frac{2}{3}}}\right)}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)} - 2\right)}{2 x \log{\left(x \right)} \cot{\left(x \right)}} - \frac{3 \left(- \frac{320 x^{5} \left(40 x^{4} \sqrt[3]{2 - 3 x} - \frac{x^{5} + 9}{\left(2 - 3 x\right)^{\frac{2}{3}}}\right)}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)^{2}} - \frac{2 x \left(40 x^{4} \sqrt[3]{2 - 3 x} - \frac{x^{5} + 9}{\left(2 - 3 x\right)^{\frac{2}{3}}}\right) \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right)}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right) \log{\left(x \right)} \cot{\left(x \right)}} + \frac{8 x \left(700 x^{8} \sqrt[3]{2 - 3 x} - \frac{40 x^{4} \left(x^{5} + 9\right)}{\left(2 - 3 x\right)^{\frac{2}{3}}} + 80 x^{3} \sqrt[3]{2 - 3 x} \left(x^{5} + 9\right) - \frac{\left(x^{5} + 9\right)^{2}}{\left(2 - 3 x\right)^{\frac{5}{3}}}\right)}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)^{2}} + \frac{8 x \left(40 x^{4} \sqrt[3]{2 - 3 x} - \frac{x^{5} + 9}{\left(2 - 3 x\right)^{\frac{2}{3}}}\right)}{\left(2 - 3 x\right)^{\frac{4}{3}} \left(x^{5} + 9\right)} - 2 \left(\frac{40 x^{4}}{x^{5} + 9} - \frac{1}{2 - 3 x}\right) \left(\frac{x \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right)}{\log{\left(x \right)} \cot{\left(x \right)}} - 2\right) + \frac{- \frac{x \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right)^{2}}{\log{\left(x \right)} \cot{\left(x \right)}} + \frac{6 x \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right) \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot{\left(x \right)}} + \frac{2 x \left(- 6 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} - 6 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \cot^{2}{\left(x \right)} + \frac{6 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}}{x} + \frac{\cot^{2}{\left(x \right)}}{x^{2}}\right)}{\cot{\left(x \right)}} - \frac{2 \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right)}{\log{\left(x \right)}} + 12 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{4 \cot{\left(x \right)}}{x}}{\log{\left(x \right)} \cot{\left(x \right)}} + \frac{4 \left(40 x^{4} \sqrt[3]{2 - 3 x} - \frac{x^{5} + 9}{\left(2 - 3 x\right)^{\frac{2}{3}}}\right)}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)}\right)}{2 x} + \frac{3 \left(\frac{x \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right)}{\log{\left(x \right)} \cot{\left(x \right)}} + \frac{2 x \left(40 x^{4} \sqrt[3]{2 - 3 x} - \frac{x^{5} + 9}{\left(2 - 3 x\right)^{\frac{2}{3}}}\right)}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)} - 2\right)}{x \left(2 - 3 x\right)} + \frac{\left(2 x \left(\frac{40 x^{4}}{x^{5} + 9} - \frac{1}{2 - 3 x}\right) + \frac{x \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right)}{\log{\left(x \right)} \cot{\left(x \right)}} - 2\right) \left(\frac{x \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right)}{\log{\left(x \right)} \cot{\left(x \right)}} + \frac{2 x \left(40 x^{4} \sqrt[3]{2 - 3 x} - \frac{x^{5} + 9}{\left(2 - 3 x\right)^{\frac{2}{3}}}\right)}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)} - 2\right)}{2 x^{2}} + \frac{3 \left(\frac{x \left(3 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{\cot{\left(x \right)}}{x}\right)}{\log{\left(x \right)} \cot{\left(x \right)}} + \frac{2 x \left(40 x^{4} \sqrt[3]{2 - 3 x} - \frac{x^{5} + 9}{\left(2 - 3 x\right)^{\frac{2}{3}}}\right)}{\sqrt[3]{2 - 3 x} \left(x^{5} + 9\right)} - 2\right)}{x^{2}}\right)}{18}
Simplificar
Gráfico
Derivada de (x*sqrt(ln(x)*(ctg(x))^3)/((x^5+9)^8*(2-3x)^(1/3)))^1/3
    © Sr Examen – Калькулятор