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Derivada de la función/ sinhx/ y=a^sinhx^2

Derivada de y=a^sinhx^2

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

Ha introducido [src] 
     2   
 sinh (x)
a
$$a^{\sinh^{2}{\left(x \right)}}$$ 
a^(sinh(x)^2)
Primera derivada [src] 
       2                          
   sinh (x)                       
2*a        *cosh(x)*log(a)*sinh(x)
$$2 a^{\sinh^{2}{\left(x \right)}} \log{\left(a \right)} \sinh{\left(x \right)} \cosh{\left(x \right)}$$
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Segunda derivada [src] 
       2                                                             
   sinh (x) /    2          2            2        2          \       
2*a        *\cosh (x) + sinh (x) + 2*cosh (x)*sinh (x)*log(a)/*log(a)
$$2 a^{\sinh^{2}{\left(x \right)}} \left(2 \log{\left(a \right)} \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)} + \sinh^{2}{\left(x \right)} + \cosh^{2}{\left(x \right)}\right) \log{\left(a \right)}$$
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Tercera derivada [src] 
       2                                                                                                    
   sinh (x) /          2                   2                   2       2        2   \                       
4*a        *\2 + 3*cosh (x)*log(a) + 3*sinh (x)*log(a) + 2*cosh (x)*log (a)*sinh (x)/*cosh(x)*log(a)*sinh(x)
$$4 a^{\sinh^{2}{\left(x \right)}} \left(2 \log{\left(a \right)}^{2} \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)} + 3 \log{\left(a \right)} \sinh^{2}{\left(x \right)} + 3 \log{\left(a \right)} \cosh^{2}{\left(x \right)} + 2\right) \log{\left(a \right)} \sinh{\left(x \right)} \cosh{\left(x \right)}$$
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