Use the level curves of the function z=f(x,y) to decide the sign (positive, nega

Question

Use the level curves of the function z=f(x,y) to decide the sign (positive, negative, or zero) of each of the partial derivatives at the point P. Assume the x- and y-axes are in the usual positions. fx(P) is ? fy(P) is ? fxx(P) is ? fyy(P) is ? fxy(P) is ? ? positive negative zero Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables are restricted to a domain on which the function is defined. f(x,y) = 2sin!left(4x ight)cos!left(7y ight) fxx= fyy= fxy= fyx= Find the partial derivatives indicated Assume the variables are restricted to a domain on which the function is defined. z=x^{6}+5^{y}+x^{y}. Zx = Zy =

Explanation / Answer

this link explains how to calculate these: http://www.physicsforums.com/showthread.php?t=539421

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