Chapter 2.4, Problem 29E

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

Chapter
Section

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem
1 views

If H ( θ ) = θ sin θ , find H ′ ( θ ) and H ″ ( θ ) .

To determine

To find: H'θ and H" (θ)

Explanation

1) Formula:

i. Product rule:

ddxfx*gx=fxddxgx+gxddxfx

ii. Sum rule:

ddxfx+gx=ddxfx+ddx(gx)

iii. Derivative of sine:

ddxsinx=cosx

iv. Derivative of cosine:

ddxcosx=-sinx

2) Given:

Hθ=θsinθ

3) Calculations:

Hθ=θsinθ

Differentiate Hθ with respect to θ,

H'θ=ddθ(θsinθ)

By using product rule,

H'θ=θddθsinθ+sinθddθ(θ)

By using formula,

H'θ=θcosθ+sinθ(1)

H'θ=θcos

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

What is the value of (X + 1) for the following scores: 0, 1, 4, 2? a. 8 b. 9 c. 11 d. 16

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Insert the proper sign to replacein problems 7-14. 14.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the integral. 8. 3t2t+1dt

Single Variable Calculus: Early Transcendentals

Sometimes, Always, or Never: If limxaf(x) and f(a) both exist, then f is continuous at a.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Identify and describe the content of each section of an APA-style research report.

Research Methods for the Behavioral Sciences (MindTap Course List)