Chapter 2: Q. 88 (page 199)
Use the definition of the derivative to prove the following special case of the product rule
Short Answer
We proved the special case of product function using the definition of the derivative
Chapter 2: Q. 88 (page 199)
Use the definition of the derivative to prove the following special case of the product rule
We proved the special case of product function using the definition of the derivative
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Get started for freeFor 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.
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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
Prove the difference rule in two ways
a) using definition of the derivative
b) using sum and constant multiple rules
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.
For each function graphed in Exercises 65-68, determine the values of at which fails to be continuous and/or differentiable. At such points, determine any left or right continuity or differentiability. Sketch secant lines supporting your answers.
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