Find the derivative of the function \(f(x)=x^2−2x\). Solution.. If we had expressed this function in the form \(y=x^2−2x\), we could have expressed the derivative as \(y′=2x−2\) or \(\dfrac{dy}{dx}=2x−2\). We could have conveyed the same information by writing \(\dfrac{d}{dx}\left(x^2−2x\right)=2x−2\). Thus, for the function.. Transcript. Let's find the derivative of x² at any point using the formal definition of a derivative. We will learn to apply the limit as h approaches 0 to determine the slope of the tangent line at a given point on the curve y = x². This powerful concept leads to a general formula for the derivative: f' (x) = 2x. Created by Sal Khan.

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