Consider the function. y = (2x² + 1)³ (a) Decompose the function in the form y = f(u) and u = g(x). (Use non-identity functions for f(u) and u.) {f(u), u} = dy (b) Find as a function of x. dx 12x (2x² + 1)² dy dx

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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 2E
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Consider the function.
y = (2x² + 1)3
(a) Decompose the function in the form y
=
}
{f(u), u}
=
dy =
dx
{
dy
(b) Find as a function of x.
dx
12x (2x² + 1)²
f(u) and u = g(x). (Use non-identity functions for f(u) and u.)
Transcribed Image Text:Consider the function. y = (2x² + 1)3 (a) Decompose the function in the form y = } {f(u), u} = dy = dx { dy (b) Find as a function of x. dx 12x (2x² + 1)² f(u) and u = g(x). (Use non-identity functions for f(u) and u.)
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