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Mathematics Question on Differential Calculus

For the function π‘“βˆΆβ„Γ—β„β†’β„ defined by 𝑓(π‘₯, 𝑦)=2π‘₯2-π‘₯𝑦-3𝑦 2-3π‘₯+7𝑦 , the point (1,1) is

A

a point of local maximum

B

a point of local minimum

C

a saddle point

D

NOT a critical point

Answer

a saddle point

Explanation

Solution

The correct option is (C): a saddle point