Suppose that functions f and g and their derivatives with respect to x have the following values at x = 2 and x = 3. f(x) f'(x) g'(x) g(x) х 1/3 2 2 -3 2т 3 3 -4 5 Find the derivatives with respect to x of the following combina- tions at the given value of x. b. f(x) + g(x), х%3D 3 а. 2f(х), х 2 c. f(x) • g(x), d. f(x)/g(x), x = 2 f. Vf(x), x = 2 h. Vf²(x) + g²(x), x = 2 x = 3 е. f(g(x)), х%3D 2 g. 1/g'(x), х %3D3

Suppose that functions f and g and their derivatives with respect to x have the following values at x = 2 and x = 3. f(x) f'(x) g'(x) g(x) х 1/3 2 2 -3 2т 3 3 -4 5 Find the derivatives with respect to x of the following combina- tions at the given value of x. b. f(x) + g(x), х%3D 3 а. 2f(х), х 2 c. f(x) • g(x), d. f(x)/g(x), x = 2 f. Vf(x), x = 2 h. Vf²(x) + g²(x), x = 2 x = 3 е. f(g(x)), х%3D 2 g. 1/g'(x), х %3D3

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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The fifth-order partial derivative ∂5ƒ/∂x2∂y3 is zero for each of thefollowing functions. To show this as quickly as possible, whichvariable would you differentiate with respect to first: x or y? Try toanswer without writing anything down. ƒ(x, y) = y2 + y(sin x - x4)

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