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Miscellaneous partial derivatives Compute the first
Chapter 12, Problem 48E(choose chapter or problem)
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 =