(a) Use the limit formula for the derivative of a function at a point tofind f'(−3) for f(x) = 2x2− x.(b) Use the limit formula for the derivative of a function to find thegeneral formula for g'(x) for g(x) = 1/3x + 2.

Answered: (a) Use the limit formula for the…

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Calculus

(a) Use the limit formula for the derivative of a function at a point to find f'(−3) for f(x) = 2x2− x.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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Question

(a) Use the limit formula for the derivative of a function at a point to
find f'(−3) for f(x) = 2x²− x.

(b) Use the limit formula for the derivative of a function to find the
general formula for g'(x) for g(x) = 1/3x + 2
.

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