Use the Product Rule twice to prove that if , g, and h are differentiable functions of

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Use the Product Rule twice to prove that if ƒ, g, and
h are differentiable functions of x, then

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Feb 09, 2023 08:05 AM

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(a) Use the Product Rule twice to prove that if , , and are differentiable, then (fgh)' = fgh + fg'h + gfh'. (b) Taking f = g = h in part (a), show that d/dx[f(x)]3 = 3[f(x)]2 f'(x) (c) Use part (b)...
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Use the Product Rule twice to prove that if , g, and h are differentiable functions of

Question:

xp *(x),y(x)8(x)£ + (x)y(x),8(x)£ + (x)y(x)8(x),£ = [(x}y(x)8(x)ƒ]} Р

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xgxhx xgxx dx d...View the full answer

Calculus

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