(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
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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Question
![(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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05d85d42-88ea-4e71-ac38-898b8539ea7f%2Fe371102b-8db9-415b-b480-1f768c1637db%2F1fogohk_processed.jpeg&w=3840&q=75)
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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