   Chapter 10.5, Problem 34E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Which is correct? The derivative function f ' ( x ) tellsus(A) the slope of the tangent line at each of the points ( x , f ( x ) ) .(B) the approximate slope of the tangent line at each of the points ( x , f ( x ) ) .(C) the slope of the secant line through ( x , f ( x ) ) and ( x + h , f ( x + h ) ) for h = 0.0001. (D) the slope of a certain secant line through each of the points ( x , f ( x ) ) .

To determine

The correct choice that represents the derivative function f(x)

from the following options:

(A) The slope of the tangent lines at each of the points (x,f(x)).

(B) The approximate slope of the tangent lines at each of the points (x,f(x)).

(C) The slope of the secant lines through (x,f(x))

and (x+h,f(x+h))

for h=0.0001.

(D) The slope of a certain secant line through each of the points (x,f(x)).

Explanation

Given information:

The derivative function is f(x)

and the options are:

(A) The slope of the tangent lines at each of the points (x,f(x)).

(B) The approximate slope of the tangent lines at each of the points (x,f(x)).

(C) The slope of the secant lines through (x,f(x))

and (x+h,f(x+h))

for h=0

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