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Expresiones semejantes
x*exparcsin(sqrt(x))*(9^sin(3*x)+sin^9(3*x))(x)
x*exparcsin(sqrt(x))*(9^sin(3*x)-sin^9(3*x))(-x)

Derivada de la función/ x*exparcsin(sqrt(x))*(9^sin(3*x)+sin^9(3*x))(-x)

Derivada de xexparcsin(sqrt(x))(9^sin(3x)+sin^9(3x))(-x)

Solución

Ha introducido [src]

       /  ___\                             
   asin\\/ x / / sin(3*x)      9     \     
x*e           *\9         + sin (3*x)/*(-x)

- x x e^{\operatorname{asin}{\left(\sqrt{x} \right)}} \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right)

((x*exp(asin(sqrt(x))))*(9^sin(3*x) + sin(3*x)^9))*(-x)

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

    /                        /           /  ___\               \                                                                       \                                         
    |                        |  ___  asin\\/ x /        /  ___\|                                                                /  ___\|                                  /  ___\
    |/ sin(3*x)      9     \ |\/ x *e               asin\\/ x /|     /      8                    sin(3*x)                \  asin\\/ x /|     / sin(3*x)      9     \  asin\\/ x /
- x*|\9         + sin (3*x)/*|------------------ + e           | + x*\27*sin (3*x)*cos(3*x) + 3*9        *cos(3*x)*log(9)/*e           | - x*\9         + sin (3*x)/*e           
    |                        |       _______                   |                                                                       |                                         
    \                        \   2*\/ 1 - x                    /                                                                       /

- x \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) e^{\operatorname{asin}{\left(\sqrt{x} \right)}} - x \left(x \left(3 \cdot 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} \cos{\left(3 x \right)} + 27 \sin^{8}{\left(3 x \right)} \cos{\left(3 x \right)}\right) e^{\operatorname{asin}{\left(\sqrt{x} \right)}} + \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) \left(\frac{\sqrt{x} e^{\operatorname{asin}{\left(\sqrt{x} \right)}}}{2 \sqrt{1 - x}} + e^{\operatorname{asin}{\left(\sqrt{x} \right)}}\right)\right)

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Segunda derivada [src]

/                                              /                                                                                                                                                                                                            /        ___  \                                          \                                                \             
|                                              |/ sin(3*x)      9     \ /  /    1              1                 1        \          4       \        /     9              2         7         sin(3*x)                    sin(3*x)    2         2   \      |      \/ x   | /     8         sin(3*x)       \         |                                                |             
|                                            x*|\9         + sin (3*x)/*|x*|---------- + -------------- - ----------------| - ---------------| + 36*x*\9*sin (3*x) - 72*cos (3*x)*sin (3*x) + 9        *log(9)*sin(3*x) - 9        *cos (3*x)*log (9)/ - 12*|2 + ---------|*\9*sin (3*x) + 9        *log(9)/*cos(3*x)|                                                |             
|  /        ___  \                             |                        |  |x*(-1 + x)    3/2   _______     ___        3/2|     ___   _______|                                                                                                              |      _______|                                          |                                                |      /  ___\
|  |      \/ x   | / sin(3*x)      9     \     \                        \  \             x   *\/ 1 - x    \/ x *(1 - x)   /   \/ x *\/ 1 - x /                                                                                                              \    \/ 1 - x /                                          /       /     8         sin(3*x)       \         |  asin\\/ x /
|- |2 + ---------|*\9         + sin (3*x)/ + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 6*x*\9*sin (3*x) + 9        *log(9)/*cos(3*x)|*e           
|  |      _______|                                                                                                                                                               4                                                                                                                                                                                    |             
\  \    \/ 1 - x /                                                                                                                                                                                                                                                                                                                                                    /

\left(- 6 x \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} + 9 \sin^{8}{\left(3 x \right)}\right) \cos{\left(3 x \right)} + \frac{x \left(36 x \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} \sin{\left(3 x \right)} - 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)}^{2} \cos^{2}{\left(3 x \right)} + 9 \sin^{9}{\left(3 x \right)} - 72 \sin^{7}{\left(3 x \right)} \cos^{2}{\left(3 x \right)}\right) + \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) \left(x \left(\frac{1}{x \left(x - 1\right)} - \frac{1}{\sqrt{x} \left(1 - x\right)^{\frac{3}{2}}} + \frac{1}{x^{\frac{3}{2}} \sqrt{1 - x}}\right) - \frac{4}{\sqrt{x} \sqrt{1 - x}}\right) - 12 \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} + 9 \sin^{8}{\left(3 x \right)}\right) \left(\frac{\sqrt{x}}{\sqrt{1 - x}} + 2\right) \cos{\left(3 x \right)}\right)}{4} - \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) \left(\frac{\sqrt{x}}{\sqrt{1 - x}} + 2\right)\right) e^{\operatorname{asin}{\left(\sqrt{x} \right)}}

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Tercera derivada [src]

/                                                                                                          /                                                                                                                                                                         /        ___  \                                                                                                                                                                                                                                                                                                                                                                  \                                                                                                                                                                 \             
|                                                                                                          |  / sin(3*x)      9     \ /  /         1               3             3              3                 3        \       6              6                 6        \       |      \/ x   | /     9              2         7         sin(3*x)                    sin(3*x)    2         2   \      /     8         sin(3*x)       \ /  /    1              1                 1        \          4       \                  /       8         sin(3*x)                 2         6         sin(3*x)    2         3         sin(3*x)    2            \         |     / sin(3*x)      9     \ /  /    1              1                 1        \          4       \                                                              |             
|                                                                                                        x*|- \9         + sin (3*x)/*|x*|- --------------- + ----------- + ----------- + -------------- + ----------------| - ---------- - -------------- + ----------------| + 108*|2 + ---------|*\9*sin (3*x) - 72*cos (3*x)*sin (3*x) + 9        *log(9)*sin(3*x) - 9        *cos (3*x)*log (9)/ + 18*\9*sin (3*x) + 9        *log(9)/*|x*|---------- + -------------- - ----------------| - ---------------|*cos(3*x) + 216*x*\225*sin (3*x) + 9        *log(9) - 504*cos (3*x)*sin (3*x) - 9        *cos (3*x)*log (9) + 3*9        *log (9)*sin(3*x)/*cos(3*x)|   3*\9         + sin (3*x)/*|x*|---------- + -------------- - ----------------| - ---------------|                                                              |             
|                                                                                                          |                          |  |   3/2        3/2             2    2             5/2   _______     ___        5/2|   x*(-1 + x)    3/2   _______     ___        3/2|       |      _______|                                                                                                                                        |  |x*(-1 + x)    3/2   _______     ___        3/2|     ___   _______|                                                                                                                                                    |                             |  |x*(-1 + x)    3/2   _______     ___        3/2|     ___   _______|     /        ___  \                                          |      /  ___\
|     /     9              2         7         sin(3*x)                    sin(3*x)    2         2   \     \                          \  \  x   *(1 - x)      x*(-1 + x)    x *(-1 + x)   x   *\/ 1 - x    \/ x *(1 - x)   /                x   *\/ 1 - x    \/ x *(1 - x)   /       \    \/ 1 - x /                                                                                                                                        \  \             x   *\/ 1 - x    \/ x *(1 - x)   /   \/ x *\/ 1 - x /                                                                                                                                                    /                             \  \             x   *\/ 1 - x    \/ x *(1 - x)   /   \/ x *\/ 1 - x /     |      \/ x   | /     8         sin(3*x)       \         |  asin\\/ x /
|27*x*\9*sin (3*x) - 72*cos (3*x)*sin (3*x) + 9        *log(9)*sin(3*x) - 9        *cos (3*x)*log (9)/ + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------ - 9*|2 + ---------|*\9*sin (3*x) + 9        *log(9)/*cos(3*x)|*e           
|                                                                                                                                                                                                                                                                                                                                                                                      8                                                                                                                                                                                                                                                                                                                                 4                                                     |      _______|                                          |             
\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \    \/ 1 - x /                                          /

\left(27 x \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} \sin{\left(3 x \right)} - 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)}^{2} \cos^{2}{\left(3 x \right)} + 9 \sin^{9}{\left(3 x \right)} - 72 \sin^{7}{\left(3 x \right)} \cos^{2}{\left(3 x \right)}\right) + \frac{x \left(216 x \left(3 \cdot 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)}^{2} \sin{\left(3 x \right)} - 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)}^{3} \cos^{2}{\left(3 x \right)} + 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} + 225 \sin^{8}{\left(3 x \right)} - 504 \sin^{6}{\left(3 x \right)} \cos^{2}{\left(3 x \right)}\right) \cos{\left(3 x \right)} - \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) \left(x \left(\frac{3}{x \left(x - 1\right)^{2}} + \frac{3}{x^{2} \left(x - 1\right)} + \frac{3}{\sqrt{x} \left(1 - x\right)^{\frac{5}{2}}} - \frac{1}{x^{\frac{3}{2}} \left(1 - x\right)^{\frac{3}{2}}} + \frac{3}{x^{\frac{5}{2}} \sqrt{1 - x}}\right) - \frac{6}{x \left(x - 1\right)} + \frac{6}{\sqrt{x} \left(1 - x\right)^{\frac{3}{2}}} - \frac{6}{x^{\frac{3}{2}} \sqrt{1 - x}}\right) + 18 \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} + 9 \sin^{8}{\left(3 x \right)}\right) \left(x \left(\frac{1}{x \left(x - 1\right)} - \frac{1}{\sqrt{x} \left(1 - x\right)^{\frac{3}{2}}} + \frac{1}{x^{\frac{3}{2}} \sqrt{1 - x}}\right) - \frac{4}{\sqrt{x} \sqrt{1 - x}}\right) \cos{\left(3 x \right)} + 108 \left(\frac{\sqrt{x}}{\sqrt{1 - x}} + 2\right) \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} \sin{\left(3 x \right)} - 9^{\sin{\left(3 x \right)}} \log{\left(9 \right)}^{2} \cos^{2}{\left(3 x \right)} + 9 \sin^{9}{\left(3 x \right)} - 72 \sin^{7}{\left(3 x \right)} \cos^{2}{\left(3 x \right)}\right)\right)}{8} + \frac{3 \left(9^{\sin{\left(3 x \right)}} + \sin^{9}{\left(3 x \right)}\right) \left(x \left(\frac{1}{x \left(x - 1\right)} - \frac{1}{\sqrt{x} \left(1 - x\right)^{\frac{3}{2}}} + \frac{1}{x^{\frac{3}{2}} \sqrt{1 - x}}\right) - \frac{4}{\sqrt{x} \sqrt{1 - x}}\right)}{4} - 9 \left(9^{\sin{\left(3 x \right)}} \log{\left(9 \right)} + 9 \sin^{8}{\left(3 x \right)}\right) \left(\frac{\sqrt{x}}{\sqrt{1 - x}} + 2\right) \cos{\left(3 x \right)}\right) e^{\operatorname{asin}{\left(\sqrt{x} \right)}}

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Gráfico

Derivada de x*exparcsin(sqrt(x))*(9^sin(3*x)+sin^9(3*x))(-x)

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Expresiones idénticas

Expresiones semejantes

Derivada de xexparcsin(sqrt(x))(9^sin(3x)+sin^9(3x))(-x)

Gráfico:

Definida a trozos:

Solución

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Expresiones idénticas

Expresiones semejantes

Derivada de x*exparcsin(sqrt(x))*(9^sin(3*x)+sin^9(3*x))(-x)

Gráfico:

Definida a trozos:

Solución

Derivada de xexparcsin(sqrt(x))(9^sin(3x)+sin^9(3x))(-x)