Chapter 2: Q. 7 (page 221)
Explain how the formula for differentiating the natural logarithm function is a special case of the formula for differentiating logarithmic functions of the form
Short Answer
The reason has been explained.
Chapter 2: Q. 7 (page 221)
Explain how the formula for differentiating the natural logarithm function is a special case of the formula for differentiating logarithmic functions of the form
The reason has been explained.
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Get started for freeUse the definition of the derivative to find for each function in Exercises 39-54.
Find a function that has the given derivative and value. In each case you can find the answer with an educated guess and check process it may be helpful to do some preliminary algebra
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.
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 23–38.
25.
use the definition of the derivative to prove the quotient rule
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