Chapter 2: Q. 44 (page 210)
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.
Short Answer
The required answer is
Chapter 2: Q. 44 (page 210)
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.
The required answer is
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Get started for freeDifferentiate 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.
Prove the difference rule in two ways
a) using definition of the derivative
b) using sum and constant multiple rules
Think about what you did today and how far north you were from your house or dorm throughout the day. Sketch a graph that represents your distance north from your house or dorm over the course of the day, and explain how the graph reflects what you did today. Then sketch a graph of your velocity.
Suppose and . Use the chain rule to find role="math" localid="1648356625815" without first finding the formula for .
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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