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 freeUse (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.
29.
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.
For each function and interval in Exercises , use the Intermediate Value Theorem to argue that the function must have at least one real root on . Then apply Newton’s method to approximate that root.
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:
After seconds, with
Use the differentiation rules developed in this section to find
the derivatives of the functions
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