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Derivative of $$$\tanh{\left(x \right)}$$$
The calculator will find the derivative of $$$\tanh{\left(x \right)}$$$, with steps shown.
Related calculator: Derivative Calculator
Solution
The derivative of the hyperbolic tangent is $$$\frac{d}{dx} \left(\tanh{\left(x \right)}\right) = \operatorname{sech}^{2}{\left(x \right)}$$$:
$${\color{red}\left(\frac{d}{dx} \left(\tanh{\left(x \right)}\right)\right)} = {\color{red}\left(\operatorname{sech}^{2}{\left(x \right)}\right)}$$Thus, $$$\frac{d}{dx} \left(\tanh{\left(x \right)}\right) = \operatorname{sech}^{2}{\left(x \right)}$$$.
Answer
$$$\frac{d}{dx} \left(\tanh{\left(x \right)}\right) = \operatorname{sech}^{2}{\left(x \right)}$$$A