   Chapter 3.10, Problem 13E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Find the differential of each function.13. (a) y = tan t (b) y = 1 − v 2 1 + v 2

(a)

To determine

To find: The differential of the function.

Explanation

Given:

The function is y=tant.

Derivative rules:

(1) Chain rule: If y=f(u) and u=g(x)  are both differentiable function, then

dydx=dydududx.

(2) Quotient rule: If f1(x) and f2(x) are both differentiable, then

ddx(f1(x)f2(x))=f2(x)ddx(f1(x))f1(x)ddx(f2(x))[f2(x)].

Result used:

If y=f(x), then the differential is dy=f(x)dx.

Calculation:

The differential of the function is computed as follows,

Consider y=tant.

f(t)=tant

Differentiate with respect to t,

f(t)=ddt(tant)

Let u=t

(b)

To determine

To find: The differential of the 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

#### What is the slope of a nonvertical line? What can you say about the slope of a vertical line?

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### In problems 31-36, simplify each expression. 36.

Mathematical Applications for the Management, Life, and Social Sciences

#### True or False: is a geometric series.

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

#### Distinguish between science and pseudoscience.

Research Methods for the Behavioral Sciences (MindTap Course List) 