Find the relative maximum and minimum values.
a. f(x,y)=x^3-6xy+y^2+6x+3y-1/5
Relative minimum: ________ at ________
Relative maximum: ________ at ________
b. f(x,y)= 3x-6y-x^2-y^2
Relative minimum: ________ at ________
Relative maximum: ________ at ________
1.) Find the local maximum and minimum values and saddle
point(s) (x,y,f) 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) = xy − 5x − 5y − x2 − y2
2.)Find the local maximum and minimum values and saddle
point(s)(x,y,f) of the function. If...
1. a. Find the relative maximum and minimum values of f(x, y) =
(3x^2) − (2y^2) b. Find the relative maximum and minimum values of
f(x, y) = (x^3) + (y^3) − 6xy . The expression that you may need D
= fxx(x0,
y0)fyy(x0, y0) −
(fxy(x0, y0))2
Let f(x, y) = 2x^3 − 6xy + 3y^2 be a function defined on
xy-plane
(a) Find first and second partial derivatives of.
(b) Determine the local extreme points of f (max., min., saddle
points) if there are any.
(c) Find the absolute max. and absolute min. values of f over
the closed region bounded by the lines x = 2, y = 0, and y = x