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

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).

https://brainmass.com/math/calculus-and-analysis/stationary-point-saddle-point-min-max-498301

#### Solution Preview

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 Â± 0.001,1 Â± 0.001);(0 Â± 0.001,-1 Â± 0.001)

First, calculate the partial derivatives fx and fy, and simultaneously solve the ...

#### Solution Summary

The solution provides detailed explanation how to find out the stationary point, saddle point, min and max.