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i) Let f(x) = e2*g(x) where g(2) to calculate f"(2). Show your work. = -1 and g'(2) = 7, and g"(2) = -4. Use the product rule twice Hint. e2 = (e")2. ii) Let F(x) = f(rf(xf(x))) where f(1) = 2, f(2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) 6. Calculate F'(1). Show your work.

i) Let f(x) = e2*g(x) where g(2) to calculate f"(2). Show your work. = -1 and g'(2) = 7, and g"(2) = -4. Use the product rule twice Hint. e2 = (e")2. ii) Let F(x) = f(rf(xf(x))) where f(1) = 2, f(2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) 6. Calculate F'(1). Show your work.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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i) Let f(r) = e2-g(x) where g(2) = -1 and g'(2) = 7, and g"(2) to calculate f"(2). Show your work. 3. = -4. Use the product rule twice Hint. e2 = (e")2. ii) Let F(x) = f(xf(rf(x))) where f(1) = 2, f(2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) = 6. Calculate F'(1). Show your work.
Transcribed Image Text:i) Let f(r) = e2-g(x) where g(2) = -1 and g'(2) = 7, and g"(2) to calculate f"(2). Show your work. 3. = -4. Use the product rule twice Hint. e2 = (e")2. ii) Let F(x) = f(xf(rf(x))) where f(1) = 2, f(2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) = 6. Calculate F'(1). Show your work.
iii) Suppose f(T/3) = 4 and f'(T/3) = -2. Let, cos(r) g(x) = f(x) sin(x), h(x)= f (x) Find g'(T/3) and h'(T/3).
Transcribed Image Text:iii) Suppose f(T/3) = 4 and f'(T/3) = -2. Let, cos(r) g(x) = f(x) sin(x), h(x)= f (x) Find g'(T/3) and h'(T/3).
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