41-50. Differentials Consider the following functions and express the relationship between a small change in x and the corresponding change in y in the form dy = f'(x) dx. 41. f(x) — 2х + 1 42. f(x) = sin? x %3D 43. f(x) = 1/x 44. f(x) = e2* 45. f(x) = 2 - a cos x, a constant 46. f(x) — (4 + х)/(4 — х) 47. f(х) — Зх3 — 4х 48. f(x) — sin х 49. f(x) = tanx 50. f(x) — In (1 — х)
41-50. Differentials Consider the following functions and express the relationship between a small change in x and the corresponding change in y in the form dy = f'(x) dx. 41. f(x) — 2х + 1 42. f(x) = sin? x %3D 43. f(x) = 1/x 44. f(x) = e2* 45. f(x) = 2 - a cos x, a constant 46. f(x) — (4 + х)/(4 — х) 47. f(х) — Зх3 — 4х 48. f(x) — sin х 49. f(x) = tanx 50. f(x) — In (1 — х)
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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