Chapter 2: Q. 2 TB (page 208)
For each function k that follows, find functions f , g, and h so that k = f ◦ g ◦ h. There may be more than one possible answer.
Short Answer
Ifandthen
If and then
If and then
If and then
Chapter 2: Q. 2 TB (page 208)
For each function k that follows, find functions f , g, and h so that k = f ◦ g ◦ h. There may be more than one possible answer.
Ifandthen
If and then
If and then
If and then
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Get started for freeFind the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
A bowling ball dropped from a height of feet will be feet from the ground after seconds. Use a sequence of average velocities to estimate the instantaneous velocities described below:
When the bowling ball is first dropped, with
Use (a) the definition of the derivative and then
(b) the definition of the derivative to find for each function f and value in Exercises 23–38.
27.
Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
In Exercises 69–80, determine whether or not is continuous and/or differentiable at the given value of . If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative.
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