### Problem StatementWrite the following function in the form \( y = f(u) \) and \( u = g(x) \). Then find \(\frac{dy}{dx}\) as a function of \( x \).\[ y = \left(\frac{x^2}{6} + x - \frac{3}{x}\right)^4 \]---### OptionsA. \( y = f(u) = u^4 \) and \( u = g(x) = \frac{x^2}{6} + x - \frac{3}{x} \)B. \( y = f(u) = u^4 \) and \( u = g(x) = \frac{x^2}{6} + x \)C. \( y = f(u) = u \) and \( u = g(x) = \frac{x^2}{6} + x - \frac{3}{x} \)D. \( y = f(u) = u \) and \( u = g(x) = \frac{x^2}{6} + x - \frac{3}{x} \)---### TaskFind \(\frac{dy}{dx}\) as a function of \( x \).\[ \frac{dy}{dx} = \text{[Insert answer here]} \]

Answered: Image /qna-images/answer/7a0962a5-3c02-4661-89a8-3e2fcf5662ba.jpg

Write the following function in the form y = f(u) and u = g(x). Then find dy dx y= OA. y=f(u) =u² and u = g(x) = +x- OB. y=f(u) = u and u = g(x) = 6 OC. y=f(u) = u and u = g(x) = 6 O D. y=f(u) = u and u = g(x) = Find dx dy dx +² as a function of x. x² +X- +x- + X X 3 X +x-- as a function of x. XXX

Write the following function in the form y = f(u) and u = g(x). Then find dy dx y= OA. y=f(u) =u² and u = g(x) = +x- OB. y=f(u) = u and u = g(x) = 6 OC. y=f(u) = u and u = g(x) = 6 O D. y=f(u) = u and u = g(x) = Find dx dy dx +² as a function of x. x² +X- +x- + X X 3 X +x-- as a function of x. XXX

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 35E

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