se the chain and product rules to prove the quotient rule. In other words, show that dy ƒ'(x)g(x) —'g'(x)ƒ(x) [g(x)]² f(x) g(x)' dx then y = -

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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Use the chain and product rules to prove the quotient rule. In other words, show that
f(x)
then
f'(x)g(x) — g'(x)f(x)
[g(x)]²
g(x)'
if y
=
dy
dx
Transcribed Image Text:Use the chain and product rules to prove the quotient rule. In other words, show that f(x) then f'(x)g(x) — g'(x)f(x) [g(x)]² g(x)' if y = dy dx
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