Use the definition of the derivative to find f'(2) where f(x) = x^{3} - 12x.


Use the definition of the derivative to find {eq}f'(2) {/eq} where {eq}f(x) = x^{3} - 12x {/eq}.


The derivative of a function would correspond to the rate of change of a function with respect to a certain parameter. This would be possibly acquired with the help of the difference quotient and taking the limit of the change in the independent variable to be zero, or infinitesimal.

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Apply the limit definition to acquire the given derivative, f'(2). We do this by considering the limit of the difference quotient as h becomes zero,...

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How to Solve the Difference Quotient


Chapter 4 / Lesson 8

In this lesson, we'll learn the definition of the difference quotient and how to solve the difference quotient. We'll then take a look at its geometric interpretation to further our understanding of this concept.

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