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 freeProve, in two ways, that the power rule holds for negative integer powers
a) by using the definition of the derivative
b) by using thedefinition of the derivative
use the definition of the derivative to prove the quotient rule
In Exercises 69–80, determine whether or not f is continuous and/or differentiable at the given value of x. If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative.
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.
Use the definition of the derivative to find for each function in Exercises
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