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Derivada de y=sech^2(5x)

Ha introducido [src]

    2     
sech (5*x)

$$\operatorname{sech}^{2}{\left(5 x \right)}$$

sech(5*x)^2

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

        2               
-10*sech (5*x)*tanh(5*x)

$$- 10 \tanh{\left(5 x \right)} \operatorname{sech}^{2}{\left(5 x \right)}$$

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Segunda derivada [src]

       2      /           2     \
50*sech (5*x)*\-1 + 3*tanh (5*x)/

$$50 \left(3 \tanh^{2}{\left(5 x \right)} - 1\right) \operatorname{sech}^{2}{\left(5 x \right)}$$

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Tercera derivada [src]

          2      /           2     \          
-1000*sech (5*x)*\-2 + 3*tanh (5*x)/*tanh(5*x)

$$- 1000 \left(3 \tanh^{2}{\left(5 x \right)} - 2\right) \tanh{\left(5 x \right)} \operatorname{sech}^{2}{\left(5 x \right)}$$

Simplificar

Gráfico