Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using logarithmic differentiation
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Load more...
Multiply the fraction by the term $\ln\left(x+1\right)$
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$\frac{d}{dx}\left(\frac{\frac{\ln\left(x+1\right)}{x^2}}{\ln\left(x\right)^2}\right)$
Learn how to solve problems step by step online. Find the derivative using logarithmic differentiation method d/dx((1/(x^2)ln(x+1))/(ln(x)^2)). Multiply the fraction by the term \ln\left(x+1\right). Divide fractions \frac{\frac{\ln\left(x+1\right)}{x^2}}{\ln\left(x\right)^2} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. 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.
