Answered: Let f(x) = 6 - 3x + 5x2. (a) Find f'(a)…

Let f(x) = 6 - 3x + 5x2. (a) Find f'(a) (b) What is the instantaneous rate of change of f when x = 2? (c) What is the slope of the tangent line to the graph of f at the point (-9, 438)?

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

Ch 2.3 #09 Can you help me with this?

Let f(x) = 6 – 3x + 5x2.
(a) Find f'(a)
(b) What is the instantaneous rate of change of f when x = 2?
(c) What is the slope of the tangent line to the graph of f at the point (-9, 438)?

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