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

Question:

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

Derivative:

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.

Answer and Explanation: 1

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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

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Chapter 4 / Lesson 8
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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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