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Question

Multivariable Calculus Question on Functions of Two or Three Real Variables

Define the function f:R2Rf: \R^2 → \R by
f(x, y) = 12xy e-(2x+3y-2).
If (a, b) is the point of local maximum of f, then f(a, b) equals

A

2

B

6

C

12

D

0

Answer

2

Explanation

Solution

The correct option is (A) : 2.