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Chapter 2: Q 9 (page 212)
Finding antiderivatives by undoing the chain rule: For each function f that follows, find a function F with the property that F(x) = f(x). You may have to guess and check to find such a function
The points for which
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Find the derivatives of the functions in Exercises 21鈥�46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
Prove the difference rule in two ways
a) using definition of the derivative
b) using sum and constant multiple rules
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鈥�38.
29.
use the definition of the derivative to prove the quotient rule
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 hits the ground, with
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