   Chapter 13.2, Problem 10E

Chapter
Section
Textbook Problem

# Find the derivative of the vector function.10. r(t) = ⟨e−t, t − t3, ln t⟩

To determine

To find: The derivative of the vector function r(t)=et,tt3,lnt.

Explanation

To find the derivative of the vector function, differentiate each component of the vector function.

Differentiate each component of the vector function r(t)=et,tt3,lnt as follows.

ddt[r(t)]=ddt(et),ddt(tt3),ddt(lnt)

Use the following formula to compute the expression:

ddtet=etddt[u(t)+v(t)]=ddtu(t)+ddtv(t)ddtlnt=1t

Compute the expression ddt[r(t)]=

### 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

#### A sample with a mean of M = 8 has X = 56. How many scores are in the sample?

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

#### Evaluate 2(65)+3

Elementary Technical Mathematics

#### For y=43+2x, y = _____. a) 4(3 + 2x)3/2 b) 4(3 + 2x)3/2 c) 2(3 + 2x)1/2 d) 2(3 + 2x)1/2

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