Derivada de y=shx^6

Ha introducido [src]

    6   
sinh (x)

$$\sinh^{6}{\left(x \right)}$$

sinh(x)^6

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

      5           
6*sinh (x)*cosh(x)

$$6 \sinh^{5}{\left(x \right)} \cosh{\left(x \right)}$$

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Segunda derivada [src]

      4    /    2            2   \
6*sinh (x)*\sinh (x) + 5*cosh (x)/

$$6 \left(\sinh^{2}{\left(x \right)} + 5 \cosh^{2}{\left(x \right)}\right) \sinh^{4}{\left(x \right)}$$

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Tercera derivada [src]

       3    /      2            2   \        
24*sinh (x)*\4*sinh (x) + 5*cosh (x)/*cosh(x)

$$24 \left(4 \sinh^{2}{\left(x \right)} + 5 \cosh^{2}{\left(x \right)}\right) \sinh^{3}{\left(x \right)} \cosh{\left(x \right)}$$

Simplificar

Gráfico