   Chapter 11.4, Problem 11E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# A point is moving along the graph of the equation y = − 4 x 2 . At what rate is y changing when x = 5 and is changing at a rate of 2 units/sec?

To determine

To calculate: The rate of change of y at x=5 for the point that is moving along the graph of the equation y=4x2 with rate of 2units/sec.

Explanation

Given Information:

The provided equation is:

y=4x2

Formula used:

According to the chain rule, if f and g are differentiable functions with y=f(u) and u=g(x), then y is a differentiable function of x and:

dydx=dydududx

Calculation:

Consider the provided equation:

y=4x2

Now, differentiate both sides with respect to t to get:

ddt(y)=ddt(4x2)

Now, use the chain rule:

dydx=dydududx

### 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

#### Prove that abxdx=b2a22

Calculus (MindTap Course List)

#### Convert the expressions in Exercises 6584 to power form. 35x5x8+72x3

Finite Mathematics and Applied Calculus (MindTap Course List)

#### The length of the curve given by x = 3t2 + 2, y = 2t3, is:

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