Final answer to the problem
$28x^{3}\mathrm{sech}\left(x\right)-7x^4\mathrm{sech}\left(x\right)\mathrm{tanh}\left(x\right)$
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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 7x^4sech(x). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^4 and g=\mathrm{sech}\left(x\right). The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Taking the derivative of hyperbolic secant.
Final answer to the problem
$28x^{3}\mathrm{sech}\left(x\right)-7x^4\mathrm{sech}\left(x\right)\mathrm{tanh}\left(x\right)$
