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Derivada de x^-4/5
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Expresiones idénticas
y= cinco ^tgx*arcsin9x
y es igual a 5 en el grado tgx multiplicar por arc seno de 9x
y es igual a cinco en el grado tgx multiplicar por arc seno de 9x
y=5tgx*arcsin9x
y=5^tgxarcsin9x
y=5tgxarcsin9x

Derivada de la función/ sin9x/ arcsin/ y=5^tgx*arcsin9x

Derivada de y=5^tgx*arcsin9x

Solución

Ha introducido [src]

 tan(x)          
5      *asin(9*x)

5^{\tan{\left(x \right)}} \operatorname{asin}{\left(9 x \right)}

5^tan(x)*asin(9*x)

Gráfica

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Trazar el gráfico f'(x)

Primera derivada [src]

     tan(x)                                            
  9*5             tan(x) /       2   \                 
-------------- + 5      *\1 + tan (x)/*asin(9*x)*log(5)
   ___________                                         
  /         2                                          
\/  1 - 81*x

5^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)} \operatorname{asin}{\left(9 x \right)} + \frac{9 \cdot 5^{\tan{\left(x \right)}}}{\sqrt{1 - 81 x^{2}}}

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Segunda derivada [src]

        /                    /       2   \                                                                          \
 tan(x) |    729*x        18*\1 + tan (x)/*log(5)   /       2   \ /           /       2   \       \                 |
5      *|-------------- + ----------------------- + \1 + tan (x)/*\2*tan(x) + \1 + tan (x)/*log(5)/*asin(9*x)*log(5)|
        |           3/2           ___________                                                                       |
        |/        2\             /         2                                                                        |
        \\1 - 81*x /           \/  1 - 81*x                                                                         /

5^{\tan{\left(x \right)}} \left(\frac{729 x}{\left(1 - 81 x^{2}\right)^{\frac{3}{2}}} + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)} + 2 \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)} \operatorname{asin}{\left(9 x \right)} + \frac{18 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)}}{\sqrt{1 - 81 x^{2}}}\right)

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Tercera derivada [src]

        /      /            2  \                                                                                                                                                                                                    \
        |      |       243*x   |                                                                                                                                                                                                    |
        |  729*|-1 + ----------|                                                                                                                                                                                                    |
        |      |              2|                 /                             2                                        \                       /       2   \ /           /       2   \       \                 /       2   \       |
 tan(x) |      \     -1 + 81*x /   /       2   \ |         2      /       2   \     2        /       2   \              |                    27*\1 + tan (x)/*\2*tan(x) + \1 + tan (x)/*log(5)/*log(5)   2187*x*\1 + tan (x)/*log(5)|
5      *|- --------------------- + \1 + tan (x)/*\2 + 6*tan (x) + \1 + tan (x)/ *log (5) + 6*\1 + tan (x)/*log(5)*tan(x)/*asin(9*x)*log(5) + --------------------------------------------------------- + ---------------------------|
        |                 3/2                                                                                                                                         ___________                                          3/2      |
        |      /        2\                                                                                                                                           /         2                                /        2\         |
        \      \1 - 81*x /                                                                                                                                         \/  1 - 81*x                                 \1 - 81*x /         /

5^{\tan{\left(x \right)}} \left(\frac{2187 x \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)}}{\left(1 - 81 x^{2}\right)^{\frac{3}{2}}} + \left(\tan^{2}{\left(x \right)} + 1\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(5 \right)}^{2} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)} \tan{\left(x \right)} + 6 \tan^{2}{\left(x \right)} + 2\right) \log{\left(5 \right)} \operatorname{asin}{\left(9 x \right)} + \frac{27 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)} + 2 \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(5 \right)}}{\sqrt{1 - 81 x^{2}}} - \frac{729 \left(\frac{243 x^{2}}{81 x^{2} - 1} - 1\right)}{\left(1 - 81 x^{2}\right)^{\frac{3}{2}}}\right)

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Gráfico

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Expresiones idénticas

Derivada de y=5^tgx*arcsin9x

Gráfico:

Definida a trozos:

Solución