149 3.2 The Derivative as a Function Use the graph of g in the figure to do the following. a. Find the values of x in (-2, 2) at which g is not continuous. b. Find the values of x in (-2,2) at which g is not differentiable. 20. hs a-d of de- corresponding y= g(x) Practice Exercises 21-30. Derivatives a. Use limits to find the derivative function f' for the following functions f b. Evaluate f'(a) for the given values of a 21. f(x)=5x + 2; a= 1,2 22. f(x)=7;a=-1,2 23. f(x) = 4x2 + 1; a = 2,4 24. f(x) = x2 + 3x; a =-1.4 25. f(x) =-1, a =ー2,5 26. f(x) =-; a =-1,0 x + x+ 2 27. f(r) =-lt; a = 9,4 f(w)-V4w-3; a = 1,3 28. d then 29, f(s) = 4s3 + 3s; a =-3,-1 30. f(t)=3°; a=-2, 2 31-32. Velocity functions A projectile is fired vertically upward into the air, and its position (in feet) above the ground after t seconds is given by the function s(t). a. For the following functions s(t), find the instantaneous velocity function v(t). (Recall that the velacit f

149 3.2 The Derivative as a Function Use the graph of g in the figure to do the following. a. Find the values of x in (-2, 2) at which g is not continuous. b. Find the values of x in (-2,2) at which g is not differentiable. 20. hs a-d of de- corresponding y= g(x) Practice Exercises 21-30. Derivatives a. Use limits to find the derivative function f' for the following functions f b. Evaluate f'(a) for the given values of a 21. f(x)=5x + 2; a= 1,2 22. f(x)=7;a=-1,2 23. f(x) = 4x2 + 1; a = 2,4 24. f(x) = x2 + 3x; a =-1.4 25. f(x) =-1, a =ー2,5 26. f(x) =-; a =-1,0 x + x+ 2 27. f(r) =-lt; a = 9,4 f(w)-V4w-3; a = 1,3 28. d then 29, f(s) = 4s3 + 3s; a =-3,-1 30. f(t)=3°; a=-2, 2 31-32. Velocity functions A projectile is fired vertically upward into the air, and its position (in feet) above the ground after t seconds is given by the function s(t). a. For the following functions s(t), find the instantaneous velocity function v(t). (Recall that the velacit f

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Description: How would you solve #25 1493.2 The Derivative as a FunctionUse the graph of g in the figure to do the following.a. Find the values of x in (-2, 2) at which g is not continuous.b. Find the values of x in (-2,2) at which g is not differentiable.20.hsa-

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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