Chapter 2: Q 40. (page 222)
Find the derivatives of each of functions in Exercises 17–44. In some cases it may be convenient to do some preliminary algebra.
Short Answer
The required answer is
Chapter 2: Q 40. (page 222)
Find the derivatives of each of functions in Exercises 17–44. In some cases it may be convenient to do some preliminary algebra.
The required answer is
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The line that passes through the point and is parallel to the tangent line to at .
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
For each function and interval localid="1648297458718" in Exercises localid="1648297462718" , use the Intermediate Value Theorem to argue that the function must have at least one real root on localid="1648297466951" . Then apply Newton’s method to approximate that root.
localid="1648297471865"
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.
Differentiate in three ways. When you have completed all three parts, show that your three answers are the same:
(a) with the chain rule
(b) with the product rule but not the chain rule
(c) without the chain or product rules.
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