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  • Derivada de:
  • Derivada de 4-x² Derivada de 4-x²
  • Derivada de 3^(1/x) Derivada de 3^(1/x)
  • Derivada de 2*x+8/x Derivada de 2*x+8/x
  • Derivada de (-1)/x-3*x Derivada de (-1)/x-3*x

  • Expresiones idénticas

  • y= seis exp(tg(x^ siete)*arcsin(x^ tres))+4ln(3ctg(x^6)+4sinh(x^ nueve))
  • y es igual a 6 exponente de (tg(x en el grado 7) multiplicar por arc seno de (x al cubo )) más 4ln(3ctg(x en el grado 6) más 4 seno hiperbólico de (x en el grado 9))
  • y es igual a seis exponente de (tg(x en el grado siete) multiplicar por arc seno de (x en el grado tres)) más 4ln(3ctg(x en el grado 6) más 4 seno hiperbólico de (x en el grado nueve))
  • y=6exp(tg(x7)*arcsin(x3))+4ln(3ctg(x6)+4sinh(x9))
  • y=6exptgx7*arcsinx3+4ln3ctgx6+4sinhx9
  • y=6exp(tg(x⁷)*arcsin(x³))+4ln(3ctg(x⁶)+4sinh(x⁹))
  • y=6exp(tg(x en el grado 7)*arcsin(x en el grado 3))+4ln(3ctg(x en el grado 6)+4sinh(x en el grado 9))
  • y=6exp(tg(x^7)arcsin(x^3))+4ln(3ctg(x^6)+4sinh(x^9))
  • y=6exp(tg(x7)arcsin(x3))+4ln(3ctg(x6)+4sinh(x9))
  • y=6exptgx7arcsinx3+4ln3ctgx6+4sinhx9
  • y=6exptgx^7arcsinx^3+4ln3ctgx^6+4sinhx^9

  • Expresiones semejantes

  • y=6exp(tg(x^7)*arcsin(x^3))-4ln(3ctg(x^6)+4sinh(x^9))
  • y=6exp(tg(x^7)*arcsin(x^3))+4ln(3ctg(x^6)-4sinh(x^9))
Derivada de la función/ y=6exp(tg(x^7)*arcsin(x^3))+4ln(3ctg(x^6)+4sinh(x^9))

Derivada de y=6exp(tg(x^7)*arcsin(x^3))+4ln(3ctg(x^6)+4sinh(x^9))

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
      / 7\     / 3\                                
   tan\x /*asin\x /        /     / 6\         / 9\\
6*e                 + 4*log\3*cot\x / + 4*sinh\x //
6etan⁡(x7)asin⁡(x3)+4log⁡(3cot⁡(x6)+4sinh⁡(x9))6 e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}} + 4 \log{\left(3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)} \right)} 
6*exp(tan(x^7)*asin(x^3)) + 4*log(3*cot(x^6) + 4*sinh(x^9))
Primera derivada [src] 
  /    5 /        2/ 6\\       8     / 9\\     /   2    / 7\                               \     / 7\     / 3\
4*\18*x *\-1 - cot \x // + 36*x *cosh\x //     |3*x *tan\x /      6 /       2/ 7\\     / 3\|  tan\x /*asin\x /
------------------------------------------ + 6*|------------ + 7*x *\1 + tan \x //*asin\x /|*e                
               / 6\         / 9\               |   ________                                |                  
          3*cot\x / + 4*sinh\x /               |  /      6                                 |                  
                                               \\/  1 - x                                  /
4(36x8cosh⁡(x9)+18x5(−cot⁡2(x6)−1))3cot⁡(x6)+4sinh⁡(x9)+6(7x6(tan⁡2(x7)+1)asin⁡(x3)+3x2tan⁡(x7)1−x6)etan⁡(x7)asin⁡(x3)\frac{4 \left(36 x^{8} \cosh{\left(x^{9} \right)} + 18 x^{5} \left(- \cot^{2}{\left(x^{6} \right)} - 1\right)\right)}{3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}} + 6 \left(7 x^{6} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{3 x^{2} \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right) e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}}
Simplificar
Segunda derivada [src] 
    /                                                                                                                                                                                                2                                                           2                                                                                            \
    |/      / 7\       6    / 7\                                       7 /       2/ 7\\                                         \      / 3\    / 7\      /      / 7\                                \       / 3\    / 7\        9 /        2/ 6\      3     / 9\\        3 /          2/ 6\       3     / 9\       12     / 9\       6 /       2/ 6\\    / 6\\|
    || 6*tan\x /    9*x *tan\x /       4 /       2/ 7\\     / 3\   42*x *\1 + tan \x //       11 /       2/ 7\\     / 3\    / 7\|  asin\x /*tan\x /    3 | 3*tan\x /       4 /       2/ 7\\     / 3\|   asin\x /*tan\x /   216*x *\-1 - cot \x / + 2*x *cosh\x //    12*x *\-5 - 5*cot \x / + 16*x *cosh\x / + 18*x  *sinh\x / + 12*x *\1 + cot \x //*cot\x //|
6*x*||----------- + ------------ + 42*x *\1 + tan \x //*asin\x / + -------------------- + 98*x  *\1 + tan \x //*asin\x /*tan\x /|*e                 + x *|----------- + 7*x *\1 + tan \x //*asin\x /| *e                 - --------------------------------------- + -----------------------------------------------------------------------------------------|
    ||   ________           3/2                                           ________                                              |                        |   ________                               |                                                     2                                                 / 6\         / 9\                                 |
    ||  /      6    /     6\                                             /      6                                               |                        |  /      6                                |                             /     / 6\         / 9\\                                             3*cot\x / + 4*sinh\x /                                 |
    \\\/  1 - x     \1 - x /                                           \/  1 - x                                                /                        \\/  1 - x                                 /                             \3*cot\x / + 4*sinh\x //                                                                                                    /
6x(−216x9(2x3cosh⁡(x9)−cot⁡2(x6)−1)2(3cot⁡(x6)+4sinh⁡(x9))2+x3(7x4(tan⁡2(x7)+1)asin⁡(x3)+3tan⁡(x7)1−x6)2etan⁡(x7)asin⁡(x3)+12x3(18x12sinh⁡(x9)+12x6(cot⁡2(x6)+1)cot⁡(x6)+16x3cosh⁡(x9)−5cot⁡2(x6)−5)3cot⁡(x6)+4sinh⁡(x9)+(98x11(tan⁡2(x7)+1)tan⁡(x7)asin⁡(x3)+42x7(tan⁡2(x7)+1)1−x6+9x6tan⁡(x7)(1−x6)32+42x4(tan⁡2(x7)+1)asin⁡(x3)+6tan⁡(x7)1−x6)etan⁡(x7)asin⁡(x3))6 x \left(- \frac{216 x^{9} \left(2 x^{3} \cosh{\left(x^{9} \right)} - \cot^{2}{\left(x^{6} \right)} - 1\right)^{2}}{\left(3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}\right)^{2}} + x^{3} \left(7 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{3 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right)^{2} e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}} + \frac{12 x^{3} \left(18 x^{12} \sinh{\left(x^{9} \right)} + 12 x^{6} \left(\cot^{2}{\left(x^{6} \right)} + 1\right) \cot{\left(x^{6} \right)} + 16 x^{3} \cosh{\left(x^{9} \right)} - 5 \cot^{2}{\left(x^{6} \right)} - 5\right)}{3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}} + \left(98 x^{11} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)} + \frac{42 x^{7} \left(\tan^{2}{\left(x^{7} \right)} + 1\right)}{\sqrt{1 - x^{6}}} + \frac{9 x^{6} \tan{\left(x^{7} \right)}}{\left(1 - x^{6}\right)^{\frac{3}{2}}} + 42 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{6 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right) e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}}\right)
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Tercera derivada [src] 
  /                                                                                                                                                                                                                                                                                                                                                               3                           /                                         2                                                                                                                      \                                           3                                                                                                                                                                                                                                                                                                                                \
  |/      / 7\        6    / 7\       12    / 7\        13 /       2/ 7\\                                         7 /       2/ 7\\                         2                 14 /       2/ 7\\    / 7\                                                                                       \      / 3\    / 7\      /      / 7\                                \       / 3\    / 7\       3 |            2/ 6\       12 /       2/ 6\\        3     / 9\       21     / 9\        12     / 9\       12    2/ 6\ /       2/ 6\\       6 /       2/ 6\\    / 6\|         15 /        2/ 6\      3     / 9\\         9 /        2/ 6\      3     / 9\\ /          2/ 6\       3     / 9\       12     / 9\       6 /       2/ 6\\    / 6\\        /      / 7\                                \ /      / 7\       6    / 7\                                       7 /       2/ 7\\                                         \      / 3\    / 7\|
  || 6*tan\x /    81*x *tan\x /   81*x  *tan\x /   189*x  *\1 + tan \x //        4 /       2/ 7\\     / 3\   504*x *\1 + tan \x //        18 /       2/ 7\\      / 3\   882*x  *\1 + tan \x //*tan\x /         18    2/ 7\ /       2/ 7\\     / 3\         11 /       2/ 7\\     / 3\    / 7\|  asin\x /*tan\x /    6 | 3*tan\x /       4 /       2/ 7\\     / 3\|   asin\x /*tan\x /   24*x *\-10 - 10*cot \x / - 36*x  *\1 + cot \x //  + 56*x *cosh\x / + 81*x  *cosh\x / + 216*x  *sinh\x / - 72*x  *cot \x /*\1 + cot \x // + 90*x *\1 + cot \x //*cot\x //   7776*x  *\-1 - cot \x / + 2*x *cosh\x //    648*x *\-1 - cot \x / + 2*x *cosh\x //*\-5 - 5*cot \x / + 16*x *cosh\x / + 18*x  *sinh\x / + 12*x *\1 + cot \x //*cot\x //      3 | 3*tan\x /       4 /       2/ 7\\     / 3\| | 6*tan\x /    9*x *tan\x /       4 /       2/ 7\\     / 3\   42*x *\1 + tan \x //       11 /       2/ 7\\     / 3\    / 7\|  asin\x /*tan\x /|
6*||----------- + ------------- + -------------- + ---------------------- + 210*x *\1 + tan \x //*asin\x / + --------------------- + 686*x  *\1 + tan \x // *asin\x / + ------------------------------ + 1372*x  *tan \x /*\1 + tan \x //*asin\x / + 1764*x  *\1 + tan \x //*asin\x /*tan\x /|*e                 + x *|----------- + 7*x *\1 + tan \x //*asin\x /| *e                 + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ----------------------------------------- - -------------------------------------------------------------------------------------------------------------------------- + 3*x *|----------- + 7*x *\1 + tan \x //*asin\x /|*|----------- + ------------ + 42*x *\1 + tan \x //*asin\x / + -------------------- + 98*x  *\1 + tan \x //*asin\x /*tan\x /|*e                |
  ||   ________            3/2             5/2                  3/2                                                  ________                                                       ________                                                                                                 |                        |   ________                               |                                                                                                    / 6\         / 9\                                                                                                            3                                                                                   2                                                         |   ________                               | |   ________           3/2                                           ________                                              |                  |
  ||  /      6     /     6\        /     6\             /     6\                                                    /      6                                                       /      6                                                                                                  |                        |  /      6                                |                                                                                               3*cot\x / + 4*sinh\x /                                                                                    /     / 6\         / 9\\                                                            /     / 6\         / 9\\                                                          |  /      6                                | |  /      6    /     6\                                             /      6                                               |                  |
  \\\/  1 - x      \1 - x /        \1 - x /             \1 - x /                                                  \/  1 - x                                                      \/  1 - x                                                                                                   /                        \\/  1 - x                                 /                                                                                                                                                                                                         \3*cot\x / + 4*sinh\x //                                                            \3*cot\x / + 4*sinh\x //                                                          \\/  1 - x                                 / \\/  1 - x     \1 - x /                                           \/  1 - x                                                /                  /
6(7776x15(2x3cosh⁡(x9)−cot⁡2(x6)−1)3(3cot⁡(x6)+4sinh⁡(x9))3−648x9(2x3cosh⁡(x9)−cot⁡2(x6)−1)(18x12sinh⁡(x9)+12x6(cot⁡2(x6)+1)cot⁡(x6)+16x3cosh⁡(x9)−5cot⁡2(x6)−5)(3cot⁡(x6)+4sinh⁡(x9))2+x6(7x4(tan⁡2(x7)+1)asin⁡(x3)+3tan⁡(x7)1−x6)3etan⁡(x7)asin⁡(x3)+3x3(7x4(tan⁡2(x7)+1)asin⁡(x3)+3tan⁡(x7)1−x6)(98x11(tan⁡2(x7)+1)tan⁡(x7)asin⁡(x3)+42x7(tan⁡2(x7)+1)1−x6+9x6tan⁡(x7)(1−x6)32+42x4(tan⁡2(x7)+1)asin⁡(x3)+6tan⁡(x7)1−x6)etan⁡(x7)asin⁡(x3)+24x3(81x21cosh⁡(x9)−36x12(cot⁡2(x6)+1)2−72x12(cot⁡2(x6)+1)cot⁡2(x6)+216x12sinh⁡(x9)+90x6(cot⁡2(x6)+1)cot⁡(x6)+56x3cosh⁡(x9)−10cot⁡2(x6)−10)3cot⁡(x6)+4sinh⁡(x9)+(686x18(tan⁡2(x7)+1)2asin⁡(x3)+1372x18(tan⁡2(x7)+1)tan⁡2(x7)asin⁡(x3)+882x14(tan⁡2(x7)+1)tan⁡(x7)1−x6+189x13(tan⁡2(x7)+1)(1−x6)32+81x12tan⁡(x7)(1−x6)52+1764x11(tan⁡2(x7)+1)tan⁡(x7)asin⁡(x3)+504x7(tan⁡2(x7)+1)1−x6+81x6tan⁡(x7)(1−x6)32+210x4(tan⁡2(x7)+1)asin⁡(x3)+6tan⁡(x7)1−x6)etan⁡(x7)asin⁡(x3))6 \left(\frac{7776 x^{15} \left(2 x^{3} \cosh{\left(x^{9} \right)} - \cot^{2}{\left(x^{6} \right)} - 1\right)^{3}}{\left(3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}\right)^{3}} - \frac{648 x^{9} \left(2 x^{3} \cosh{\left(x^{9} \right)} - \cot^{2}{\left(x^{6} \right)} - 1\right) \left(18 x^{12} \sinh{\left(x^{9} \right)} + 12 x^{6} \left(\cot^{2}{\left(x^{6} \right)} + 1\right) \cot{\left(x^{6} \right)} + 16 x^{3} \cosh{\left(x^{9} \right)} - 5 \cot^{2}{\left(x^{6} \right)} - 5\right)}{\left(3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}\right)^{2}} + x^{6} \left(7 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{3 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right)^{3} e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}} + 3 x^{3} \left(7 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{3 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right) \left(98 x^{11} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)} + \frac{42 x^{7} \left(\tan^{2}{\left(x^{7} \right)} + 1\right)}{\sqrt{1 - x^{6}}} + \frac{9 x^{6} \tan{\left(x^{7} \right)}}{\left(1 - x^{6}\right)^{\frac{3}{2}}} + 42 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{6 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right) e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}} + \frac{24 x^{3} \left(81 x^{21} \cosh{\left(x^{9} \right)} - 36 x^{12} \left(\cot^{2}{\left(x^{6} \right)} + 1\right)^{2} - 72 x^{12} \left(\cot^{2}{\left(x^{6} \right)} + 1\right) \cot^{2}{\left(x^{6} \right)} + 216 x^{12} \sinh{\left(x^{9} \right)} + 90 x^{6} \left(\cot^{2}{\left(x^{6} \right)} + 1\right) \cot{\left(x^{6} \right)} + 56 x^{3} \cosh{\left(x^{9} \right)} - 10 \cot^{2}{\left(x^{6} \right)} - 10\right)}{3 \cot{\left(x^{6} \right)} + 4 \sinh{\left(x^{9} \right)}} + \left(686 x^{18} \left(\tan^{2}{\left(x^{7} \right)} + 1\right)^{2} \operatorname{asin}{\left(x^{3} \right)} + 1372 x^{18} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \tan^{2}{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)} + \frac{882 x^{14} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}} + \frac{189 x^{13} \left(\tan^{2}{\left(x^{7} \right)} + 1\right)}{\left(1 - x^{6}\right)^{\frac{3}{2}}} + \frac{81 x^{12} \tan{\left(x^{7} \right)}}{\left(1 - x^{6}\right)^{\frac{5}{2}}} + 1764 x^{11} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)} + \frac{504 x^{7} \left(\tan^{2}{\left(x^{7} \right)} + 1\right)}{\sqrt{1 - x^{6}}} + \frac{81 x^{6} \tan{\left(x^{7} \right)}}{\left(1 - x^{6}\right)^{\frac{3}{2}}} + 210 x^{4} \left(\tan^{2}{\left(x^{7} \right)} + 1\right) \operatorname{asin}{\left(x^{3} \right)} + \frac{6 \tan{\left(x^{7} \right)}}{\sqrt{1 - x^{6}}}\right) e^{\tan{\left(x^{7} \right)} \operatorname{asin}{\left(x^{3} \right)}}\right)
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