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 freeIn the text we noted that if was a composition of three functions, then its derivative is . Write this rule in “prime” notation.
Prove, in two ways, that the power rule holds for negative integer powers
a) by using the definition of the derivative
b) by using thedefinition of the derivative
Use thedefinition of the derivative to prove the power rule holds for positive integers powers
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.
28.
Use the definition of the derivative to find for each function in Exercises39-54
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