Please find the attached calculus questionConsider the following functionf(x y) 2x^4 + 4y^4 18xy


Please find the attached calculus question

Consider the following function

f(x,y) 2x^4 + 4y^4 -18xy


on D=[-3,3]X[3,3]

Find the absolute and relative maxima and minima if they exist. Proceed as follows

Compute the first order partial derivatives

Find the critical points

Compute the second order partial derivatives

Use the second derivatives tests to classify the critical points

Find the value of the function at the local extrema if they exist

Find the absolute maxima and minima by evaluation f on the boundary of D