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Mathematical Applications for the ...

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

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BuyFindarrow_forward

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

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Chapter 11 Solutions

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