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((arccos((3x)^(1/2)))*(sin(x))^2)/(7-5x)^(1/2)

  • ¿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

  • ((arccos((3x)^(uno / dos)))*(sin(x))^ dos)/(siete -5x)^(uno / dos)
  • ((arc coseno de ((3x) en el grado (1 dividir por 2))) multiplicar por ( seno de (x)) al cuadrado ) dividir por (7 menos 5x) en el grado (1 dividir por 2)
  • ((arc coseno de ((3x) en el grado (uno dividir por dos))) multiplicar por ( seno de (x)) en el grado dos) dividir por (siete menos 5x) en el grado (uno dividir por dos)
  • ((arccos((3x)(1/2)))*(sin(x))2)/(7-5x)(1/2)
  • arccos3x1/2*sinx2/7-5x1/2
  • ((arccos((3x)^(1/2)))*(sin(x))²)/(7-5x)^(1/2)
  • ((arccos((3x) en el grado (1/2)))*(sin(x)) en el grado 2)/(7-5x) en el grado (1/2)
  • ((arccos((3x)^(1/2)))(sin(x))^2)/(7-5x)^(1/2)
  • ((arccos((3x)(1/2)))(sin(x))2)/(7-5x)(1/2)
  • arccos3x1/2sinx2/7-5x1/2
  • arccos3x^1/2sinx^2/7-5x^1/2
  • ((arccos((3x)^(1 dividir por 2)))*(sin(x))^2) dividir por (7-5x)^(1 dividir por 2)

  • Expresiones semejantes

  • ((arccos((3x)^(1/2)))*(sin(x))^2)/(7+5x)^(1/2)
  • ((arccos((3x)^(1/2)))*(sinx)^2)/(7-5x)^(1/2)
Derivada de la función/ ((arccos((3x)^(1/2)))*(sin(x))^2)/(7-5x)^(1/2)

Derivada de ((arccos((3x)^(1/2)))*(sin(x))^2)/(7-5x)^(1/2)

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

Gráfico:

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Solución

Ha introducido [src] 
    /  _____\    2   
acos\\/ 3*x /*sin (x)
---------------------
       _________     
     \/ 7 - 5*x
sin⁡2(x)acos⁡(3x)7−5x\frac{\sin^{2}{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)}}{\sqrt{7 - 5 x}} 
(acos(sqrt(3*x))*sin(x)^2)/sqrt(7 - 5*x)
Gráfica
02468-8-6-4-2-1010-1010
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                                     ___    2                                
      /  _____\                    \/ 3 *sin (x)                             
2*acos\\/ 3*x /*cos(x)*sin(x) - -------------------                          
                                    ___   _________        2        /  _____\
                                2*\/ x *\/ 1 - 3*x    5*sin (x)*acos\\/ 3*x /
--------------------------------------------------- + -----------------------
                      _________                                       3/2    
                    \/ 7 - 5*x                             2*(7 - 5*x)
2sin⁡(x)cos⁡(x)acos⁡(3x)−3sin⁡2(x)2x1−3x7−5x+5sin⁡2(x)acos⁡(3x)2(7−5x)32\frac{2 \sin{\left(x \right)} \cos{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)} - \frac{\sqrt{3} \sin^{2}{\left(x \right)}}{2 \sqrt{x} \sqrt{1 - 3 x}}}{\sqrt{7 - 5 x}} + \frac{5 \sin^{2}{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)}}{2 \left(7 - 5 x\right)^{\frac{3}{2}}}
Simplificar
Segunda derivada [src] 
                                          /                              ___         \                                                                                         
                                          |      /  _____\             \/ 3 *sin(x)  |                                                                                         
                                        5*|4*acos\\/ 3*x /*cos(x) - -----------------|*sin(x)                                                        ___    2    /1      3    \
                                          |                           ___   _________|                2        /  _____\       ___                 \/ 3 *sin (x)*|- + --------|
    /   2         2   \     /  _____\     \                         \/ x *\/ 1 - 3*x /          75*sin (x)*acos\\/ 3*x /   2*\/ 3 *cos(x)*sin(x)                 \x   -1 + 3*x/
- 2*\sin (x) - cos (x)/*acos\\/ 3*x / + ----------------------------------------------------- + ------------------------ - --------------------- + ----------------------------
                                                             2*(7 - 5*x)                                         2             ___   _________             ___   _________     
                                                                                                      4*(7 - 5*x)            \/ x *\/ 1 - 3*x          4*\/ x *\/ 1 - 3*x      
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                    _________                                                                                  
                                                                                  \/ 7 - 5*x
−2(sin⁡2(x)−cos⁡2(x))acos⁡(3x)+5(4cos⁡(x)acos⁡(3x)−3sin⁡(x)x1−3x)sin⁡(x)2(7−5x)+75sin⁡2(x)acos⁡(3x)4(7−5x)2+3(33x−1+1x)sin⁡2(x)4x1−3x−23sin⁡(x)cos⁡(x)x1−3x7−5x\frac{- 2 \left(\sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right) \operatorname{acos}{\left(\sqrt{3 x} \right)} + \frac{5 \left(4 \cos{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)} - \frac{\sqrt{3} \sin{\left(x \right)}}{\sqrt{x} \sqrt{1 - 3 x}}\right) \sin{\left(x \right)}}{2 \left(7 - 5 x\right)} + \frac{75 \sin^{2}{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)}}{4 \left(7 - 5 x\right)^{2}} + \frac{\sqrt{3} \left(\frac{3}{3 x - 1} + \frac{1}{x}\right) \sin^{2}{\left(x \right)}}{4 \sqrt{x} \sqrt{1 - 3 x}} - \frac{2 \sqrt{3} \sin{\left(x \right)} \cos{\left(x \right)}}{\sqrt{x} \sqrt{1 - 3 x}}}{\sqrt{7 - 5 x}}
Simplificar
Tercera derivada [src] 
     /                                        ___    2    /1      3    \                        \                                                                                                                                                                                                                                                
     |                                      \/ 3 *sin (x)*|- + --------|       ___              |                                       /                              ___         \                                                                                                                                                             
     |  /   2         2   \     /  _____\                 \x   -1 + 3*x/   8*\/ 3 *cos(x)*sin(x)|                                       |      /  _____\             \/ 3 *sin(x)  |                                                                         ___    2    /1         9             2      \                                       
  15*|8*\sin (x) - cos (x)/*acos\\/ 3*x / - ---------------------------- + ---------------------|                                   225*|4*acos\\/ 3*x /*cos(x) - -----------------|*sin(x)                                                              3*\/ 3 *sin (x)*|-- + ----------- + ------------|       ___ /1      3    \              
     |                                             ___   _________             ___   _________  |                                       |                           ___   _________|                  2        /  _____\       ___ /   2         2   \                   | 2             2   x*(-1 + 3*x)|   3*\/ 3 *|- + --------|*cos(x)*sin(x)
     \                                           \/ x *\/ 1 - 3*x            \/ x *\/ 1 - 3*x   /         /  _____\                     \                         \/ x *\/ 1 - 3*x /          1875*sin (x)*acos\\/ 3*x /   3*\/ 3 *\sin (x) - cos (x)/                   \x    (-1 + 3*x)                /           \x   -1 + 3*x/              
- ----------------------------------------------------------------------------------------------- - 8*acos\\/ 3*x /*cos(x)*sin(x) + ------------------------------------------------------- + -------------------------- + --------------------------- - ------------------------------------------------- + ------------------------------------
                                            8*(7 - 5*x)                                                                                                              2                                          3                 ___   _________                           ___   _________                              ___   _________         
                                                                                                                                                          8*(7 - 5*x)                                8*(7 - 5*x)                \/ x *\/ 1 - 3*x                        8*\/ x *\/ 1 - 3*x                           2*\/ x *\/ 1 - 3*x          
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                     _________                                                                                                                                                                   
                                                                                                                                                                   \/ 7 - 5*x
−8sin⁡(x)cos⁡(x)acos⁡(3x)−15(8(sin⁡2(x)−cos⁡2(x))acos⁡(3x)−3(33x−1+1x)sin⁡2(x)x1−3x+83sin⁡(x)cos⁡(x)x1−3x)8(7−5x)+225(4cos⁡(x)acos⁡(3x)−3sin⁡(x)x1−3x)sin⁡(x)8(7−5x)2+1875sin⁡2(x)acos⁡(3x)8(7−5x)3+33(33x−1+1x)sin⁡(x)cos⁡(x)2x1−3x+33(sin⁡2(x)−cos⁡2(x))x1−3x−33(9(3x−1)2+2x(3x−1)+1x2)sin⁡2(x)8x1−3x7−5x\frac{- 8 \sin{\left(x \right)} \cos{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)} - \frac{15 \left(8 \left(\sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right) \operatorname{acos}{\left(\sqrt{3 x} \right)} - \frac{\sqrt{3} \left(\frac{3}{3 x - 1} + \frac{1}{x}\right) \sin^{2}{\left(x \right)}}{\sqrt{x} \sqrt{1 - 3 x}} + \frac{8 \sqrt{3} \sin{\left(x \right)} \cos{\left(x \right)}}{\sqrt{x} \sqrt{1 - 3 x}}\right)}{8 \left(7 - 5 x\right)} + \frac{225 \left(4 \cos{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)} - \frac{\sqrt{3} \sin{\left(x \right)}}{\sqrt{x} \sqrt{1 - 3 x}}\right) \sin{\left(x \right)}}{8 \left(7 - 5 x\right)^{2}} + \frac{1875 \sin^{2}{\left(x \right)} \operatorname{acos}{\left(\sqrt{3 x} \right)}}{8 \left(7 - 5 x\right)^{3}} + \frac{3 \sqrt{3} \left(\frac{3}{3 x - 1} + \frac{1}{x}\right) \sin{\left(x \right)} \cos{\left(x \right)}}{2 \sqrt{x} \sqrt{1 - 3 x}} + \frac{3 \sqrt{3} \left(\sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right)}{\sqrt{x} \sqrt{1 - 3 x}} - \frac{3 \sqrt{3} \left(\frac{9}{\left(3 x - 1\right)^{2}} + \frac{2}{x \left(3 x - 1\right)} + \frac{1}{x^{2}}\right) \sin^{2}{\left(x \right)}}{8 \sqrt{x} \sqrt{1 - 3 x}}}{\sqrt{7 - 5 x}}
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Gráfico
Derivada de ((arccos((3x)^(1/2)))*(sin(x))^2)/(7-5x)^(1/2)
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