Final answer to the problem
Step-by-step Solution
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Factor the polynomial $x^2-x$ by it's greatest common factor (GCF): $x$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(\frac{x\left(x-1\right)}{x-1}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (x^2-x)/(x-1) using the definition. Factor the polynomial x^2-x by it's greatest common factor (GCF): x. Simplify the fraction \frac{x\left(x-1\right)}{x-1} by x-1. Find the derivative of x using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is x. Substituting f(x+h) and f(x) on the limit, we get. Cancel like terms x and -x.