Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\left(x-1\right)^2$ and $g=\ln\left(x\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\left(x-1\right)^2\right)\ln\left(x\right)+\left(x-1\right)^2\frac{d}{dx}\left(\ln\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (x-1)^2ln(x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\left(x-1\right)^2 and g=\ln\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}. Any expression to the power of 1 is equal to that same expression. 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}.
