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(a) Find the derivative of g(x) = 5arctan( for x > 0. Simplify your answer. g'(x) = (b) Find the derivative of h(x) = 5arctan(x) + 5arctan(¹) n(1) for x > 0. Simplify your answer. h'(x) = (c) What does your result in part (b) tell you about h(x) for x > 0 ? Oh(x) is constant. O h(x) is increasing. Oh(x) is decreasing.

(a) Find the derivative of g(x) = 5arctan( for x > 0. Simplify your answer. g'(x) = (b) Find the derivative of h(x) = 5arctan(x) + 5arctan(¹) n(1) for x > 0. Simplify your answer. h'(x) = (c) What does your result in part (b) tell you about h(x) for x > 0 ? Oh(x) is constant. O h(x) is increasing. Oh(x) is decreasing.

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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(a) Find the derivative of g(x) = 5arctan g'(x) = (²) for x > 0. Simplify your answer. (b) Find the derivative of h(x) = 5arctan(x) h'(x) = O h(x) is increasing. Oh(x) is decreasing. 5arctan(x) + 5arctan(1) for x > 0. Simplify your answer. + 5arctan(1) (c) What does your result in part (b) tell you about h(x) for x > 0 ? O h(x) is constant.
Transcribed Image Text:(a) Find the derivative of g(x) = 5arctan g'(x) = (²) for x > 0. Simplify your answer. (b) Find the derivative of h(x) = 5arctan(x) h'(x) = O h(x) is increasing. Oh(x) is decreasing. 5arctan(x) + 5arctan(1) for x > 0. Simplify your answer. + 5arctan(1) (c) What does your result in part (b) tell you about h(x) for x > 0 ? O h(x) is constant.
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