Find the derivative $\frac{d}{dx}\left(\frac{\mathrm{cosh}\left(x\right)-1}{\frac{d}{dx}\left(x^2\right)}\right)$

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$\frac{d}{dx}\left(\frac{\mathrm{cosh}\left(x\right)-1}{2x}\right)$

Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative d/dx((cosh(x)-1)/(d/dx(x^2))). The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. The power of a product is equal to the product of it's factors raised to the same power. Simplify the product -(\mathrm{cosh}\left(x\right)-1).