Final answer to the problem
$e^x\left(1-\mathrm{tanh}\left(x\right)\right)\mathrm{sech}\left(x\right)$
Got another answer? Verify it here!
Step-by-step Solution
Learn how to solve product rule of differentiation problems step by step online. Find the derivative of e^xsech(x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=e^x and g=\mathrm{sech}\left(x\right). Applying the derivative of the exponential function. Taking the derivative of hyperbolic secant. The derivative of the linear function is equal to 1.
Final answer to the problem
$e^x\left(1-\mathrm{tanh}\left(x\right)\right)\mathrm{sech}\left(x\right)$
