Question

Find all the local maxima, local minima and saddle points of the function.
Q.e^ -(x^2 +y^2 +2x)

Verify my arithmetic


fx(x,y)=(2x+2) * -e^-(x^2+y^2+2x)
fy(x,y)=2y * -e^-(x^2+y^2+2x)

x=-1 and y=0

fxx(x,y)= -e^-(x^2+y^2+2x) *2 +(2x+2) * e^-(x^2+y^2+2x)
fyy(x,y)=-e^-(x^2+y^2+2x)*2+(2y) * e^-(x^2+y^2+2x) (2y)

fxx=-2e
fyy=-2e

Answer 1

Please verify my arithmetic