Find all points where the function has any relative extrema or saddle points and

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Find all points where the function has any relative extrema or saddle points and identify the type of relative extremum.

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Question 46

x2 - y2 + 5xy

choices:  

Relative maximum at (0, 0); Relative minimum at (0, 0); Saddle point at (0, 0);
There are no relative extrema .

Find all points where the function has any relative extrema or saddle points and identify the type of relative extremum. x2 - y2 + 5xy choices: Relative maximum at (0, 0); Relative minimum at (0, 0); Saddle point at (0, 0); There are no relative extrema .

Explanation / Answer

first derivative wrt x = 2x+5y at (0,0) = 0

second derivative wrt x = 2 >0

first derivative wrt y = -2y+5x at (0,0) = 0

second derivative wrt y = -2 < 0

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