Chapter 2: Q. 57 (page 185)
Use the definition of the derivative to find the derivatives described in Exercises 55-58.
Givenfindand
Short Answer
The value is
Chapter 2: Q. 57 (page 185)
Use the definition of the derivative to find the derivatives described in Exercises 55-58.
Givenfindand
The value is
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Get started for freeEach graph in Exercises 31–34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.
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.
23.
Suppose and . Use the chain rule to find role="math" localid="1648356625815" without first finding the formula for .
In the text we noted that if was a composition of three functions, then its derivative is . Write this rule in “prime” notation.
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.
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