How do you find the derivative of ${cos}^{5} (x)$ $cos^5 ( x)$ ?

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How do you find the derivative of ${cos}^{5} (x)$ $cos^5 ( x)$ ?

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Answer 1 · 2015-09-21T14:51:07

$- 5 sin x {cos}^{4} x$ $-5sinxcos^4x$

Explanation:

By application of the power rule, which states the derivative of a function to a power equals the power times the function raised to one less than the given power, multiplied by the derivative of the function, we get :

$\frac{d}{d x} {cos}^{5} x = 5 {cos}^{4} x \cdot (- sin x)$ $d/dxcos^5x=5cos^4x*(-sinx)$

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How do you find the derivative of ${cos}^{5} (x)$ $cos^5 ( x)$ ?

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How do you find the derivative of ${cos}^{5} (x)$ $cos^5 ( x)$ ?