Miscellaneous partial derivatives Compute the first

Chapter 12, Problem 48E

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QUESTION:

Miscellaneous partial derivatives  Compute the first partial derivatives of the following functions.

\(f(x, y)=\ln \left(1+e^{-x y}\right)\)

Questions & Answers

QUESTION:

Miscellaneous partial derivatives  Compute the first partial derivatives of the following functions.

\(f(x, y)=\ln \left(1+e^{-x y}\right)\)

ANSWER:

Solution 48EGiven function f(x,y) is a function of two variables.Then , are the partial derivatives with respect to x and y.Step 1:Solve where y is constant =(Let u= () Apply the chain rule = = In (u) .() As we know In (u) = ()= (-.y) = (-.y)Substitute u= () Then =

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