Find frac{dy}{dx} for y = arccos x.

Question:

Find {eq}\frac{dy}{dx} {/eq} for {eq}y = \arccos x. {/eq}

Derivative:

We will use the standard result {eq}\frac{\mathrm{d} \cos ^{-1}x}{\mathrm{d} x}=\frac{-1}{\sqrt{1-x^{2}}} {/eq} to solve the derivative and the derivative of the constant function is 0.

Answer and Explanation:

To find the derivative of the function we will use the standard result:

{eq}y=\cos ^{-1}x {/eq}

Now differentiating we get:

{eq}\frac{\mathrm{d} y}{\mathrm{d} x}=\frac{-1}{\sqrt{1-x^{2}}} {/eq}


Learn more about this topic:

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Solving Partial Derivative Equations

from GRE Math: Study Guide & Test Prep

Chapter 14 / Lesson 1
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