1. Compute the following values for the given function.

h(x,y)= 6x+4y

----------

x-y

h(0, 1) =

h(-1, 1) =

h(2, 1) =

h(, -) =

2.Find the second-order partial derivatives of the function.

f(x,y) = ln(4+x²y²)

f_xx=

f_yy=

f_xy=

f_yx=

3.Find the critical points of the function. Then use the second derivative test to classify the nature of each point, if possible. (If an answer does not exist, enter DNE.).

f(x,y) =4x³+y²-12x²-8y+9x- 2

(x,y) =( , )(smallerx-value)is this a relative max, relative min, saddle point or inconclusive?

(x,y) =( , )(largerx-value)is this a relative max, relative min, saddle point or inconclusive?

Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.)

relative minimum value=

relative maximum value=