Final Answer
Step-by-step Solution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\mathrm{arcsec}\left(x\right)$ and $g=\mathrm{tanh}\left(x\right)$
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$\frac{d}{dx}\left(\mathrm{arcsec}\left(x\right)\right)\mathrm{tanh}\left(x\right)+\frac{d}{dx}\left(\mathrm{tanh}\left(x\right)\right)\mathrm{arcsec}\left(x\right)$
Learn how to solve differential calculus 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 and term.