Find f'(x) and f"(x) for the following:

{eq}f(x) = 2x^3 - 9x + 1 {/eq}


Find f'(x) and f"(x) for the following:

{eq}f(x) = 2x^3 - 9x + 1 {/eq}

Power Rule

One of the most important differentiation rules is the power rule. This rule applies when we have functions containing our variable to a numerical exponent, regardless of if that exponent is positive, negative, an integer, or a fraction. This rule states that {eq}\frac{d}{dx} x^n = nx^{n-1} {/eq}.

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In order to find both of the derivatives of these functions, we'll need to apply the Power Rule. In conjunction with this rule, we can remember that...

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Power Rule for Derivatives: Examples & Explanation


Chapter 19 / Lesson 18

In this lesson, learn the power rule for the derivative of exponents. Moreover, learn to understand how to apply the power rule of derivatives for various cases including negative powers.

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