Chapter 2: Q. 3 (page 232)
What limit facts and trigonometric identities are used in
the proof that
Short Answer
limit facts and sum identity for the sine are used in the proof of
Chapter 2: Q. 3 (page 232)
What limit facts and trigonometric identities are used in
the proof that
limit facts and sum identity for the sine are used in the proof of
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Get started for freeIn the text we noted that if was a composition of three functions, then its derivative is . Write this rule in “prime” notation.
Differentiation review: Without using the chain rule find the derivative of each of the function f that follows some algebra may be required before differentiating
Instead of choosing small values of h, we could have chosen values of z close to c. What limit involving z instead of h is equivalent to the one involving h?
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.
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?
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