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. f(x,y)=6e^x cos(y) local maximum value(s)=? local minimum value(s)=? saddle point(s) (x,y,f)=?

musicbachv7

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2022-08-17

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.
f ( x , y ) = 6 e x cos ( y )
local maximum value(s)=?
local minimum value(s)=?
saddle point(s) (x,y,f)=?

Answer & Explanation

Emely English

Emely English

Beginner2022-08-18Added 16 answers

f ( x , y ) = 6 e x cos y
let z=f(x,y)
To find stationary points
p = v z v x = 0  and  q = v z v y = 0 6 e x cos y = 0  and  6 e x sin y = 0 cos y = 0  and  sin y = 0
cos y and sin y both cannot be equal to zero at same values. So stationary points doesnot exist.
local minimum, maximum and saddle point doesnot exist

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