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Taking the derivative of hyperbolic cosine
Learn how to solve product rule of differentiation problems step by step online.
$\frac{d}{dx}\left(\ln\left(2x^4\right)\right)\mathrm{sinh}\left(\ln\left(2x^4\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(cosh(ln(2x^4))). Taking the derivative of hyperbolic cosine. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The derivative of the constant function (2) is equal to zero.