   Chapter 8.4, Problem 13E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Differentiating Trigonometric Functions In Exercises 1-28, find the derivative of the trigonometric function. See Examples 1, 2, 3, y  =  tan   9 x

To determine

To calculate: The derivative of the trigonometric function y=tan9x.

Explanation

Given Information:

The provided trigonometric function is y=tan9x.

Formula used:

Tangent differentiation rule:

ddx[tanu]=sec2ududx

General power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the provided trigonometric function is,

y=tan9x

Let u=tan9x then the function will become:

y=u=u1/2

Differentiate the above function.

dydx=ddx[u1/2]=12u1/2dudx

Now, substitute back u=tan9x in the above function and differentiate the function using Tangent and general power rule of differentiate

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