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(a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the derivative, show that ƒ′(1) = 2 (c) Write an equation for the tangent line to the graph of y = 7√x at the point x = 1.

(a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the derivative, show that ƒ′(1) = 2 (c) Write an equation for the tangent line to the graph of y = 7√x at the point x = 1.

Trigonometry (MindTap Course List)
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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Let f(x) = 7sqrt(x)
(a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the derivative, show that f'(1) = = 2 (c) Write an equation for the tangent line to the graph of y = 7√x at the point x = 1.
Transcribed Image Text:(a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the derivative, show that f'(1) = = 2 (c) Write an equation for the tangent line to the graph of y = 7√x at the point x = 1.
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