Chapter 2: Q 23. (page 222)
Find the derivatives of the functions:
Short Answer
The required answer is.
Chapter 2: Q 23. (page 222)
Find the derivatives of the functions:
The required answer is.
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Get started for freeUse the definition of the derivative to find for each function in Exercises 34-59
Each graph in Exercises 31–34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.
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 the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The tangent line to at
In Exercises 69–80, determine whether or not is continuous and/or differentiable at the given value of . If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative.
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