   Chapter 14.7, Problem 15E

Chapter
Section
Textbook Problem

# Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.15. f(x, y) = ex cos y

To determine

To find: The local maximum, local minimum and saddle point of the function, f(x,y)=excosy .

Explanation

The given function is, f(x,y)=excosy .

Take the partial derivative in the given function with respect to x and obtain fx .

fx=x(excosy)=cosyx(ex)=cosyex(1)=excosy

Thus, fx=excosy . (1)

Take the partial derivative in the given function with respect to y and obtain fy

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