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$\frac{d}{dx}\left(\frac{\ln\left(x+1\right)}{x^2\ln\left(x\right)^2}\right)$
Learn how to solve problems step by step online. Find the derivative using the product rule d/dx((1/(x^2)ln(x+1))/(ln(x)^2)). Simplifying. 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}}. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2 and g=\ln\left(x\right)^2. The power of a product is equal to the product of it's factors raised to the same power.