Derivada de xsech(x²)

Ha introducido [src]

      / 2\
x*sech\x /

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

x*sech(x^2)

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

     2     / 2\     / 2\       / 2\
- 2*x *sech\x /*tanh\x / + sech\x /

- 2 x^{2} \tanh{\left(x^{2} \right)} \operatorname{sech}{\left(x^{2} \right)} + \operatorname{sech}{\left(x^{2} \right)}

Simplificar

Segunda derivada [src]

    /        / 2\      2     2/ 2\      2 /         2/ 2\\\     / 2\
2*x*\- 3*tanh\x / + 2*x *tanh \x / + 2*x *\-1 + tanh \x ///*sech\x /

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

Simplificar

Tercera derivada [src]

  /        / 2\      2 /          2/ 2\      2     3/ 2\       2 /         2/ 2\\     / 2\\      2     2/ 2\      2 /         2/ 2\\\     / 2\
2*\- 3*tanh\x / - 2*x *\3 - 6*tanh \x / + 2*x *tanh \x / + 10*x *\-1 + tanh \x //*tanh\x // + 6*x *tanh \x / + 6*x *\-1 + tanh \x ///*sech\x /

2 \left(6 x^{2} \left(\tanh^{2}{\left(x^{2} \right)} - 1\right) - 2 x^{2} \left(10 x^{2} \left(\tanh^{2}{\left(x^{2} \right)} - 1\right) \tanh{\left(x^{2} \right)} + 2 x^{2} \tanh^{3}{\left(x^{2} \right)} - 6 \tanh^{2}{\left(x^{2} \right)} + 3\right) + 6 x^{2} \tanh^{2}{\left(x^{2} \right)} - 3 \tanh{\left(x^{2} \right)}\right) \operatorname{sech}{\left(x^{2} \right)}

Simplificar

Gráfico

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Expresiones idénticas

Derivada de xsech(x²)

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Solución