Final answer to the problem
$\frac{\mathrm{tanh}\left(x\right)}{x\sqrt{x^2-1}}+\mathrm{sech}\left(x\right)^2\mathrm{arcsec}\left(x\right)$
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Step-by-step Solution
Learn how to solve product rule of differentiation problems step by step online. Find the derivative of arcsec(x)tanh(x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\mathrm{arcsec}\left(x\right) and g=\mathrm{tanh}\left(x\right). Taking the derivative of arcsecant. The derivative of the linear function is equal to 1. Multiply the fraction by the term .
Final answer to the problem
$\frac{\mathrm{tanh}\left(x\right)}{x\sqrt{x^2-1}}+\mathrm{sech}\left(x\right)^2\mathrm{arcsec}\left(x\right)$
