   Chapter 8.4, Problem 40E ### 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
1 views

# Differentiating Trigonometric Functions In Exercises 29-40, find the derivative of the function and simplify your answer by using the trigonometric identities listed in Section 8.2. y = 1 2 ln ( cos 2 x )

To determine

To calculate: The simplified derivative of the trigonometric function y=12ln(cos2x) using trigonometric identities.

Explanation

Given Information:

The trigonometric function:

y=12ln(cos2x)

Formula used:

Logarithmic differentiation rule:

ddx[ln(u)]=1ududx

Cosine differentiation rule:

ddx[cosu]=sinududx

General power rule of differentiation:

ddx[xn]=nxn1

The sum and difference formula of differentiation:

ddx[f(x)+g(x)]=f'(x)+g'(x)

Reciprocal identity:

sinθcosθ=tanθ

Calculation:

Consider the trigonometric function:

y=12ln(cos2x)

Apply the logarithmic formula of differentiation on the above function

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 