   Chapter 8.4, Problem 22E ### 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

# Differentiating Trigonometric Functions In Exercises 1-28, find the derivative of the trigonometric function. See Examples 1, 2, 3, y = csc 2 x − sec   3 x

To determine

To calculate: The derivative of the trigonometric function y=csc2xsec3x.

Explanation

Given Information:

The provided trigonometric function is y=csc2xsec3x.

Formula used:

Secant differentiation rule:

ddx[secu]=secutanududx

Cosecant differentiation rule:

ddx[cscu]=cosucotududx

General power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the provided trigonometric function is,

y=csc2xsec3x

Apply the secant and power rule of differentiation to find the derivative of the above function.

dydx=ddx[(cscx)2]ddx

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