Consider the function f(x, y) = 4xy − 2x 4 − y
2 .
(a) Find the critical points of f.
(b) Use the second partials test to classify the critical
points.
(c) Show that f does not have a global minimum.
In the first 5 examples find the derivative of
Y
Y=epower2x
Y=epower-2x +xpower2
Y=epowerxpower1/2
Y= epower-3/x
Y=epower4xdivided by xpower2
Integrate the following
Int x epower5xpower2 dx
Int epower-2x between 1 and 0
Int.epower x1/2 divided by xpower1/2