Question

(12) \( [8 \mathrm{pts}] \) Find the first-ordered partial derivatives, \( f_{x}(x, y), f_{y}(x, y) \), of the funetion \[ f(x, y)=\ln (2 x+9 y) . \]

          (12) \( [8 \mathrm{pts}] \) Find the first-ordered partial derivatives, \( f_{x}(x, y), f_{y}(x, y) \), of the funetion
\[
f(x, y)=\ln (2 x+9 y) .
\]

(12) [8 pts] Find the first-ordered partial derivatives, fx(x, y), fy(x, y), of the funetion

f(x, y)=ln (2 x+9 y) .

Added by Nuria M.

Calculus with Concepts in Calculus

Denny Gulick, Robert Ellis 6th Edition

Chapter 13

Instant Answer

Solved by Expert Gregory Higby

Step 1

The chain rule is used because the function inside the logarithm, \(2x + 9y\), is a function of \(x\) (and \(y\), but \(y\) is treated as a constant when differentiating with respect to \(x\)). Show more…

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