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

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
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4. Use the chain and product rules to prove the quotient rule. In other words, show that
if y
f'(x)g(x) — g'(x)f(x)
then
9(x)'
[g(x)]²
dy
dx
Transcribed Image Text:4. Use the chain and product rules to prove the quotient rule. In other words, show that if y f'(x)g(x) — g'(x)f(x) then 9(x)' [g(x)]² dy dx
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