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find out the stationary point, saddle point, min and max

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1) Let f(x,y)=25e^(-1/5x^2)-y^5+5y+3
a) Find all stationary points of the function f(x,y) and enter their coordinates by "" with at least 3 decimal places.
b)Let (xs,ys) be the saddle point of the function f(x,y). Calculate the following expression:
f(xs,ys)-(xs+ys) and enter the value with at least 3 dp.
c) what is(are) type of stationarity the other point(s)?

2)Let f(x,y)=6e^(x^2)-y^2+5y+6
a) stationary points
b) let (xs,ys) be the saddle point of the function f(x,y), calculate the following expression f(xs,ys)-(xs+ys)
c)what type of stationary points (stationary, saddle, min, max).

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Hi there,

Thanks for letting me work on your post. I've included my explanation in the word document. If you have any question, please feel free to let me know.

Let .
(a) Find all stationary points of the function amd enter their coordinates separated by ";", with at least 3 decimal places.
For example, " "
Correct
Your Answer: (0.001,1.001);(0.001,-1.001)
Correct Answer: (0 ± 0.001,1 ± 0.001);(0 ± 0.001,-1 ± 0.001)
First, calculate the partial derivatives fx and fy, and simultaneously solve the ...

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