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11. Suppose we are given two functions f(x) and g(x) that satisfy the following conditions: f(3) = 1, 9(3)=2 f'(3) = 2 If we are also told that the function h(z) = f(z)- g(x) satisfies (3)=9, then what is the value of g'(3)? (a) g'(3)=1 (b) g'(3)=5 (c) g'(3)=0 (d) g'(3)=9/2 (e) There is not enough information to determine g' (3).

11. Suppose we are given two functions f(x) and g(x) that satisfy the following conditions: f(3) = 1, 9(3)=2 f'(3) = 2 If we are also told that the function h(z) = f(z)- g(x) satisfies (3)=9, then what is the value of g'(3)? (a) g'(3)=1 (b) g'(3)=5 (c) g'(3)=0 (d) g'(3)=9/2 (e) There is not enough information to determine g' (3).

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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11. Suppose we are given two functions f(x) and g(x) that satisfy the following conditions: If we are also told that the function h(x) = f(x) · g(x) satisfies h'(3) = 9, then what is the value of g'(3)? (a) g'(3)=1 (b) g'(3) = 5 (c) g'(3)=0 (d) g'(3)=9/2 (e) There is not enough information to determine g(3). f(3) = 1, 9(3) 2 f'(3) = 2 12. Suppose we are given two differentiable functions f(r) and g(z) that can be composed to form h(z) = = (fog)(x) = f(g(x)). Use the information below to compute h'(2). (Note: not all of the information is needed to compute this value.) 13. Express the derivative. (a) f' (2²+52+tan z) (b) f' (2r +5+ sec² z) g(1)=5 g(1) = 0 f(1) 6 (1) 10 g(2) = 1 g/(2)=-3 f(2)=9 f(2)=3 g(6) 7 g'(6) 11 (6)=14 f'(6)=7 (a) '(2) = 30 (b) h'(2) = -9 (c) h'(2) 110 (d) h'(2) = 0 (e) There is not enough information to determine h'(2). ((2²+5+tanz)) in terms of f'. (c) f' (2²+5r+tanz) - (2x+5+sec²z) (d) 2x+5+ seec² z
Transcribed Image Text:11. Suppose we are given two functions f(x) and g(x) that satisfy the following conditions: If we are also told that the function h(x) = f(x) · g(x) satisfies h'(3) = 9, then what is the value of g'(3)? (a) g'(3)=1 (b) g'(3) = 5 (c) g'(3)=0 (d) g'(3)=9/2 (e) There is not enough information to determine g(3). f(3) = 1, 9(3) 2 f'(3) = 2 12. Suppose we are given two differentiable functions f(r) and g(z) that can be composed to form h(z) = = (fog)(x) = f(g(x)). Use the information below to compute h'(2). (Note: not all of the information is needed to compute this value.) 13. Express the derivative. (a) f' (2²+52+tan z) (b) f' (2r +5+ sec² z) g(1)=5 g(1) = 0 f(1) 6 (1) 10 g(2) = 1 g/(2)=-3 f(2)=9 f(2)=3 g(6) 7 g'(6) 11 (6)=14 f'(6)=7 (a) '(2) = 30 (b) h'(2) = -9 (c) h'(2) 110 (d) h'(2) = 0 (e) There is not enough information to determine h'(2). ((2²+5+tanz)) in terms of f'. (c) f' (2²+5r+tanz) - (2x+5+sec²z) (d) 2x+5+ seec² z
8. Of the sentences provided below, which is an example of a false statement? (No work need be included with this question; just circle your answer). (a) a² + b² = c² (b) 546 9 (c) en 32 (d) x + 4 = 5 9. Of the sentences provided below, which is an example of a true statement? (No work need be included with this question; just circle your answer). (a) a² + b² = c² (b) (12.570) ⇒ (24 = 25) (c) (12.5=60) ⇒ (24 = 25) (d) (12.560) (2¹25) (e) (12.570) V (24 = 25)
Transcribed Image Text:8. Of the sentences provided below, which is an example of a false statement? (No work need be included with this question; just circle your answer). (a) a² + b² = c² (b) 546 9 (c) en 32 (d) x + 4 = 5 9. Of the sentences provided below, which is an example of a true statement? (No work need be included with this question; just circle your answer). (a) a² + b² = c² (b) (12.570) ⇒ (24 = 25) (c) (12.5=60) ⇒ (24 = 25) (d) (12.560) (2¹25) (e) (12.570) V (24 = 25)
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