a. The slope of the tangent line to the differentiable function f at f(2+Ax)-f(2) the point (2, f(2)) is Ax b. If the function is continuous at a point, then it is differentiable. c. If the function has derivatives from both the right and the left at a point, then it is differentiable at that point. d. If the function is differentiable at a particular point, then it is continuous at that point.

a. The slope of the tangent line to the differentiable function f at f(2+Ax)-f(2) the point (2, f(2)) is Ax b. If the function is continuous at a point, then it is differentiable. c. If the function has derivatives from both the right and the left at a point, then it is differentiable at that point. d. If the function is differentiable at a particular point, then it is continuous at that point.

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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