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Suppose that u(2) = S (2) 9(=) and "(2) = {(2) (z) g(2) where f (2) and g(z) are graphed below (the graph of f is blue, the graph of g is red) (a) Find u (4). Show how you get your answer. (b) Find e (1). Show how you get your answer.

Suppose that u(2) = S (2) 9(=) and "(2) = {(2) (z) g(2) where f (2) and g(z) are graphed below (the graph of f is blue, the graph of g is red) (a) Find u (4). Show how you get your answer. (b) Find e (1). Show how you get your answer.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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3 (4) Suppose that (7) If f (x) is a differentiable functions, find the derivative of the function u (x) = f (x) 9 (x) f (x) y = x3 and f (x) v (x) . g (x) In other words, find . Your answer should be in terms of x, ƒ (x), and f' (x). Simplify your where f (x) and g (x) are graphed below (the graph of f is blue, the graph of g is red) answer. 1 (a) Find u' (4). Show how you get your answer. (8) A ball is thrown straight up into the air. It's height h in meters aftert seconds is given by h (t) = – = -5t2 + 22t + 4 (b) Find v' (1). Show how you get your answer. Include units when answering the following questions. Justify your answers. (a) What is the height of the ball at t = 0 seonds? (b) What is the velocity of the ball at t = 0 seconds? (5) Differentiate the following. Simplify answers as appropriate. (a) y = 42 e+2 (c) What is the velocity of the ball at t = 2 seconds? (b) f (t) 3t = 13+t+1 (d) What is the acceleration of the ball at t = 2 seconds? (c) f (t) = (6) Let f (x) = x³e*. Find both f' (x) and f" (x).
Transcribed Image Text:3 (4) Suppose that (7) If f (x) is a differentiable functions, find the derivative of the function u (x) = f (x) 9 (x) f (x) y = x3 and f (x) v (x) . g (x) In other words, find . Your answer should be in terms of x, ƒ (x), and f' (x). Simplify your where f (x) and g (x) are graphed below (the graph of f is blue, the graph of g is red) answer. 1 (a) Find u' (4). Show how you get your answer. (8) A ball is thrown straight up into the air. It's height h in meters aftert seconds is given by h (t) = – = -5t2 + 22t + 4 (b) Find v' (1). Show how you get your answer. Include units when answering the following questions. Justify your answers. (a) What is the height of the ball at t = 0 seonds? (b) What is the velocity of the ball at t = 0 seconds? (5) Differentiate the following. Simplify answers as appropriate. (a) y = 42 e+2 (c) What is the velocity of the ball at t = 2 seconds? (b) f (t) 3t = 13+t+1 (d) What is the acceleration of the ball at t = 2 seconds? (c) f (t) = (6) Let f (x) = x³e*. Find both f' (x) and f" (x).
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