Chapter 2: Q. 55 (page 222)
Use logarithmic differentiation to find the derivatives of each of the functions in Exercises 49–58.
Short Answer
The derivative of function is
Chapter 2: Q. 55 (page 222)
Use logarithmic differentiation to find the derivatives of each of the functions in Exercises 49–58.
The derivative of function is
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Get started for freeUse (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.
23.
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The tangent line to at
Suppose h(t) represents the average height, in feet, of a person who is t years old.
(a) In real-world terms, what does h(12) represent and what are its units? What does h' (12) represent, and what are its units?
(b) Is h(12) positive or negative, and why? Is h'(12) positive or negative, and why?
(c) At approximately what value of t would h(t) have a maximum, and why? At approximately what value of t would h' (t) have a maximum, and why?
Use thedefinition of the derivative to prove the power rule holds for positive integers powers
In the text we noted that if was a composition of three functions, then its derivative is . Write this rule in “prime” notation.
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