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Suppose that functions f and g and their derivatives with respect X to x have the values shown to the right at x = 2 and x= 3. Find the derivatives with respect to x of the combinations below at the 2 given values of x. 3 a. 3f(x), x=2 e. f(g(x)), x=2 b. f(x) + g(x), x= 3 f. √f(x), x=2 c. f(x) g(x), x= 3 g. 1 g²(x) x=3 f(x) 8 1 g(x) 2 -2 d. f'(x) 15 x = 2 Зл f(x) g(x) h. √₁²(x)+g² (x), x=2 g'(x) -5 5

Suppose that functions f and g and their derivatives with respect X to x have the values shown to the right at x = 2 and x= 3. Find the derivatives with respect to x of the combinations below at the 2 given values of x. 3 a. 3f(x), x=2 e. f(g(x)), x=2 b. f(x) + g(x), x= 3 f. √f(x), x=2 c. f(x) g(x), x= 3 g. 1 g²(x) x=3 f(x) 8 1 g(x) 2 -2 d. f'(x) 15 x = 2 Зл f(x) g(x) h. √₁²(x)+g² (x), x=2 g'(x) -5 5

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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Can I ask for help with specifically the last four subparts? (e, f, g, h)

Suppose that functions f and g and their derivatives with respect to x have the values shown to the right at x = 2 and x = 3. Find the derivatives with respect to x of the combinations below at the given values of x. a. 3f(x), x = 2 e. f(g(x)), x=2 b. f(x) + g(x), x = 3 f. √f(x), x=2 g. c. f(x) g(x), x= 3 1 g² (x) 1 X x = 3 2 3 f(x) 8 1 d. g(x) 2 - 2 f(x) g(x)' f'(x) 1 5 3π x=2 g'(x) - 5 5 h. √₁²(x)+g² (x), x=2
Transcribed Image Text:Suppose that functions f and g and their derivatives with respect to x have the values shown to the right at x = 2 and x = 3. Find the derivatives with respect to x of the combinations below at the given values of x. a. 3f(x), x = 2 e. f(g(x)), x=2 b. f(x) + g(x), x = 3 f. √f(x), x=2 g. c. f(x) g(x), x= 3 1 g² (x) 1 X x = 3 2 3 f(x) 8 1 d. g(x) 2 - 2 f(x) g(x)' f'(x) 1 5 3π x=2 g'(x) - 5 5 h. √₁²(x)+g² (x), x=2
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https://www.bartleby.com/solution-answer/chapter-3.1-problem-62e-advanced-placement-calculus-graphical-numerical-algebraic-sixth-edition-high-school-binding-copyright-2020-6th-edition/9781418300203/ecded3a1-801a-45f1-bd48-8306fd3b99ba

e. The derivative of f(g(x)) with respect to x at x = 2 is -1. (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) 1 f. The derivative of √f(x) with respect to x at x = 2 is 20√/2 (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) 1 g² (x) (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) g. The derivative of with respect to x at x = 3 is 5 4 h. The derivative of √1²(x) + g² (x) with respect to x at x = 2 is 21 (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) 5√17
Transcribed Image Text:e. The derivative of f(g(x)) with respect to x at x = 2 is -1. (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) 1 f. The derivative of √f(x) with respect to x at x = 2 is 20√/2 (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) 1 g² (x) (Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) g. The derivative of with respect to x at x = 3 is 5 4 h. The derivative of √1²(x) + g² (x) with respect to x at x = 2 is 21 (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) 5√17
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