   Chapter 9.3, Problem 7E ### 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

# In the Procedure/Example box in this section, we were given f ( x ) =   4 x 2 and found f ' ( x ) =   8 x . Find(a) the instantaneous rate of change of f(x) at x = 4.(b) the slope of the tangent to the graph of y = f(x) at x = 4.(c) the point on the graph of y = f(x) at x = 4.

(a)

To determine

To calculate: The instantaneous rate of change of function f(x) at x=4 if f(x)=4x2 and f(x)=8x.

Explanation

Given Information:

The function f(x) is f(x)=4x2 and f(x)=8x.

Formula used:

If a function f(x), the derivative of the function f(x) is the instantaneous rate of change of function

(b)

To determine

To calculate: The slope to the tangent of the graph y=f(x) at x=4 if f(x)=4x2 and f(x)=8x.

(c)

To determine

The point on the graph of y=f(x) at x=4 if f(x)=4x2 and f(x)=8x.

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