Question

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. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

f(x, y) = 4 − x⁴ + 2x² − y²

local maximum value(s)
local minimum value(s)
saddle point(s)		(x, y, f) =

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. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y) = 4 – x4 + 2x2 - y2 local maximum value(s) * local minimum value(s) x saddle point(s) (x, y, N) = x

Answer 1

per flary) = 452 4+28,2-iy? fx = + 4 x 3 + kpl fy=-24 fx=0 ?N Ixlax270 a=0 S x= I1 fy = 0, y = 0 Critical points are 60.0) (470) (-1,0) there is no Saddle point. Poio) = 4 f (110) = f(-1,0) = 5 minimum = 4 maximums Scanned with CamScanner

Please do like