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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
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$\left(x-1\right)\frac{1}{\left(x^2-2x+2\right)^{\left|-\frac{1}{2}\right|}}\left(2x-2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the product rule (x^2-2x+2)^1/2+(x-1)(x^2-2x+2)^(-1/2)(2x-2). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying the fraction by \left(x-1\right)\left(2x-2\right). Multiply the fraction and term. Simplify the derivative.