a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a. 2 f(x) = 5x + 3 a = - 1

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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a. Find the derivative function f' for the function f.
b. Determine an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a.
2
f(x) :
%3D
a = - 1
5x +3'
Transcribed Image Text:a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a. 2 f(x) : %3D a = - 1 5x +3'
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