   Chapter 8.4, Problem 11E ### 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  = cot (8 x 2   +  3)

To determine

To calculate: The derivative of the trigonometric function y=cot(8x2+3).

Explanation

Given Information:

The provided trigonometric function is y=cot(8x2+3).

Formula used:

Cotangent differentiation rule:

ddx[cotu]=csc2ududx

General power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the provided trigonometric function is,

y=cot(8x2+3)

Differentiate the above function using Cotangent and general power rule of differentiation.

dydx=ddx[cot(8x2+3)]=(csc2(8x2+3))ddx[8x2+3

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