Question
Use the definition of the derivative to prove the following special case of the product rule.$$\frac{d}{d x}\left(x^{2} f(x)\right)=2 x f(x)+x^{2} f^{\prime}(x)$$
Step 1
We can use the product rule of differentiation which states that the derivative of a product of two functions is the derivative of the first function times the second function plus the first function times the derivative of the second function. Show more…
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