foxsinx COSX

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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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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