Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using the product rule
- Find the derivative using the definition
- 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
- Integrate by parts
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x-1$ and $g=\sqrt{x^2-2x+2}$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(x-1\right)\sqrt{x^2-2x+2}+\left(x-1\right)\frac{d}{dx}\left(\sqrt{x^2-2x+2}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the product rule d/dx((x-1)(x^2-2x+2)^(1/2)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x-1 and g=\sqrt{x^2-2x+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}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.