foxsinx COSX

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...
Question
How does sinx*cosx=sinx
foxsinx COSX
F'G) = o[xsinx - cosx + (xsinx). D[cosx)
o[f(x). g(x)] = f'(x) g(x) + fle
D[x sinx] = D[x]• sinx + x. D[sinx]
| sinx +
XCOSX
sinx + x CUSX
f'G) = (sinx+xcosx) cosx + (xsinx)(-sinx)
f'(x) =
x sin²x
2
sinx + x Cos x
-
Transcribed Image Text:foxsinx COSX F'G) = o[xsinx - cosx + (xsinx). D[cosx) o[f(x). g(x)] = f'(x) g(x) + fle D[x sinx] = D[x]• sinx + x. D[sinx] | sinx + XCOSX sinx + x CUSX f'G) = (sinx+xcosx) cosx + (xsinx)(-sinx) f'(x) = x sin²x 2 sinx + x Cos x -
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