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y=cos2x*arcsinsqrt(2^x+2x)

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  • Derivada de x!
  • Derivada de e^x-e^-x Derivada de e^x-e^-x
  • Derivada de 4*e^(2*x) Derivada de 4*e^(2*x)
  • Derivada de y=5 Derivada de y=5

  • Expresiones idénticas

  • y=cos dos x*arcsinsqrt(2^x+2x)
  • y es igual a coseno de 2x multiplicar por arc seno de raíz cuadrada de (2 en el grado x más 2x)
  • y es igual a coseno de dos x multiplicar por arc seno de raíz cuadrada de (2 en el grado x más 2x)
  • y=cos2x*arcsin√(2^x+2x)
  • y=cos2x*arcsinsqrt(2x+2x)
  • y=cos2x*arcsinsqrt2x+2x
  • y=cos2xarcsinsqrt(2^x+2x)
  • y=cos2xarcsinsqrt(2x+2x)
  • y=cos2xarcsinsqrt2x+2x
  • y=cos2xarcsinsqrt2^x+2x

  • Expresiones semejantes

  • y=cos2x*arcsinsqrt(2^x-2x)
Derivada de la función/ cos2x/ y=cos/ arcsin/ y=cos2x*arcsinsqrt(2^x+2x)

Derivada de y=cos2x*arcsinsqrt(2^x+2x)

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

Ha introducido [src] 
             /   __________\
             |  /  x       |
cos(2*x)*asin\\/  2  + 2*x /
cos⁡(2x)asin⁡(2x+2x)\cos{\left(2 x \right)} \operatorname{asin}{\left(\sqrt{2^{x} + 2 x} \right)} 
cos(2*x)*asin(sqrt(2^x + 2*x))
Gráfica
02468-8-6-4-2-101005
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                                       /     x       \            
                                       |    2 *log(2)|            
        /   __________\                |1 + ---------|*cos(2*x)   
        |  /  x       |                \        2    /            
- 2*asin\\/  2  + 2*x /*sin(2*x) + -------------------------------
                                      __________    ______________
                                     /  x          /      x       
                                   \/  2  + 2*x *\/  1 - 2  - 2*x
−2sin⁡(2x)asin⁡(2x+2x)+(2xlog⁡(2)2+1)cos⁡(2x)2x+2x−2x−2x+1- 2 \sin{\left(2 x \right)} \operatorname{asin}{\left(\sqrt{2^{x} + 2 x} \right)} + \frac{\left(\frac{2^{x} \log{\left(2 \right)}}{2} + 1\right) \cos{\left(2 x \right)}}{\sqrt{2^{x} + 2 x} \sqrt{- 2^{x} - 2 x + 1}}
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Segunda derivada [src] 
 /                                                                   /               2                  2               \         \
 |                                                                   |/     x       \    /     x       \                |         |
 |                                                                   |\2 + 2 *log(2)/    \2 + 2 *log(2)/       x    2   |         |
 |                                                                   |---------------- + ---------------- - 2*2 *log (2)|*cos(2*x)|
 |      /   __________\                 /     x       \              |     x                    x                       |         |
 |      |  /  x       |               2*\2 + 2 *log(2)/*sin(2*x)     \    2  + 2*x        -1 + 2  + 2*x                 /         |
-|4*asin\\/  2  + 2*x /*cos(2*x) + ------------------------------- + -------------------------------------------------------------|
 |                                    __________    ______________                      __________    ______________              |
 |                                   /  x          /      x                            /  x          /      x                     |
 \                                 \/  2  + 2*x *\/  1 - 2  - 2*x                  4*\/  2  + 2*x *\/  1 - 2  - 2*x               /
−(4cos⁡(2x)asin⁡(2x+2x)+2(2xlog⁡(2)+2)sin⁡(2x)2x+2x−2x−2x+1+(−2⋅2xlog⁡(2)2+(2xlog⁡(2)+2)22x+2x−1+(2xlog⁡(2)+2)22x+2x)cos⁡(2x)42x+2x−2x−2x+1)- (4 \cos{\left(2 x \right)} \operatorname{asin}{\left(\sqrt{2^{x} + 2 x} \right)} + \frac{2 \left(2^{x} \log{\left(2 \right)} + 2\right) \sin{\left(2 x \right)}}{\sqrt{2^{x} + 2 x} \sqrt{- 2^{x} - 2 x + 1}} + \frac{\left(- 2 \cdot 2^{x} \log{\left(2 \right)}^{2} + \frac{\left(2^{x} \log{\left(2 \right)} + 2\right)^{2}}{2^{x} + 2 x - 1} + \frac{\left(2^{x} \log{\left(2 \right)} + 2\right)^{2}}{2^{x} + 2 x}\right) \cos{\left(2 x \right)}}{4 \sqrt{2^{x} + 2 x} \sqrt{- 2^{x} - 2 x + 1}})
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Tercera derivada [src] 
                                                                   /                 3                    3                                       3                                                                  \                                                                           
                                                                   |  /     x       \      /     x       \                         /     x       \           x    2    /     x       \      x    2    /     x       \|              /               2                  2               \         
                                                                   |3*\2 + 2 *log(2)/    3*\2 + 2 *log(2)/       x    3          2*\2 + 2 *log(2)/        6*2 *log (2)*\2 + 2 *log(2)/   6*2 *log (2)*\2 + 2 *log(2)/|              |/     x       \    /     x       \                |         
                                                                   |------------------ + ------------------ + 4*2 *log (2) + -------------------------- - ---------------------------- - ----------------------------|*cos(2*x)     |\2 + 2 *log(2)/    \2 + 2 *log(2)/       x    2   |         
                                                                   |             2                       2                   / x      \ /      x      \              x                                x              |            3*|---------------- + ---------------- - 2*2 *log (2)|*sin(2*x)
      /   __________\                 /     x       \              |   / x      \         /      x      \                    \2  + 2*x/*\-1 + 2  + 2*x/             2  + 2*x                    -1 + 2  + 2*x        |              |     x                    x                       |         
      |  /  x       |               6*\2 + 2 *log(2)/*cos(2*x)     \   \2  + 2*x/         \-1 + 2  + 2*x/                                                                                                            /              \    2  + 2*x        -1 + 2  + 2*x                 /         
8*asin\\/  2  + 2*x /*sin(2*x) - ------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + ---------------------------------------------------------------
                                    __________    ______________                                                                     __________    ______________                                                                                     __________    ______________               
                                   /  x          /      x                                                                           /  x          /      x                                                                                           /  x          /      x                      
                                 \/  2  + 2*x *\/  1 - 2  - 2*x                                                                 8*\/  2  + 2*x *\/  1 - 2  - 2*x                                                                                 2*\/  2  + 2*x *\/  1 - 2  - 2*x
8sin⁡(2x)asin⁡(2x+2x)−6(2xlog⁡(2)+2)cos⁡(2x)2x+2x−2x−2x+1+3(−2⋅2xlog⁡(2)2+(2xlog⁡(2)+2)22x+2x−1+(2xlog⁡(2)+2)22x+2x)sin⁡(2x)22x+2x−2x−2x+1+(−6⋅2x(2xlog⁡(2)+2)log⁡(2)22x+2x−1+4⋅2xlog⁡(2)3−6⋅2x(2xlog⁡(2)+2)log⁡(2)22x+2x+3(2xlog⁡(2)+2)3(2x+2x−1)2+2(2xlog⁡(2)+2)3(2x+2x)(2x+2x−1)+3(2xlog⁡(2)+2)3(2x+2x)2)cos⁡(2x)82x+2x−2x−2x+18 \sin{\left(2 x \right)} \operatorname{asin}{\left(\sqrt{2^{x} + 2 x} \right)} - \frac{6 \left(2^{x} \log{\left(2 \right)} + 2\right) \cos{\left(2 x \right)}}{\sqrt{2^{x} + 2 x} \sqrt{- 2^{x} - 2 x + 1}} + \frac{3 \left(- 2 \cdot 2^{x} \log{\left(2 \right)}^{2} + \frac{\left(2^{x} \log{\left(2 \right)} + 2\right)^{2}}{2^{x} + 2 x - 1} + \frac{\left(2^{x} \log{\left(2 \right)} + 2\right)^{2}}{2^{x} + 2 x}\right) \sin{\left(2 x \right)}}{2 \sqrt{2^{x} + 2 x} \sqrt{- 2^{x} - 2 x + 1}} + \frac{\left(- \frac{6 \cdot 2^{x} \left(2^{x} \log{\left(2 \right)} + 2\right) \log{\left(2 \right)}^{2}}{2^{x} + 2 x - 1} + 4 \cdot 2^{x} \log{\left(2 \right)}^{3} - \frac{6 \cdot 2^{x} \left(2^{x} \log{\left(2 \right)} + 2\right) \log{\left(2 \right)}^{2}}{2^{x} + 2 x} + \frac{3 \left(2^{x} \log{\left(2 \right)} + 2\right)^{3}}{\left(2^{x} + 2 x - 1\right)^{2}} + \frac{2 \left(2^{x} \log{\left(2 \right)} + 2\right)^{3}}{\left(2^{x} + 2 x\right) \left(2^{x} + 2 x - 1\right)} + \frac{3 \left(2^{x} \log{\left(2 \right)} + 2\right)^{3}}{\left(2^{x} + 2 x\right)^{2}}\right) \cos{\left(2 x \right)}}{8 \sqrt{2^{x} + 2 x} \sqrt{- 2^{x} - 2 x + 1}}
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Gráfico
Derivada de y=cos2x*arcsinsqrt(2^x+2x)
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