Chapter 14: Q. 39 (page 897)

In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.
$f (x) = x^{2} \sin x$ at $\frac{π}{3}$

Short Answer

Expert verified

Derivative of $f (x) = x^{2} \sin x$ at $\frac{π}{3}$ is $f' (\frac{π}{3}) \approx 2.3621$ .

Step by step solution

Step 1. Given information

Given function is

$f (x) = x^{2} \sin x$

and $x = \frac{π}{3}$

Step 2. Derivative

Enter the function $f (x) = x^{2} \sin x$ and $x = \frac{π}{3}$ in the derivative function of the graphing calculator

The graphing calculator shows that the derivative of the function is $f' (\frac{π}{3}) \approx 2.3621$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.
$f (x) = x^{2} \sin x$ at $\frac{π}{3}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Derivative

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Probability and Statistics

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.f(x)=x2sinxatπ3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Derivative

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Probability and Statistics

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.
$f (x) = x^{2} \sin x$ at $\frac{π}{3}$