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(Solved): Consider the following theorem. If f is a differentiable function of x and y, then the directional ...
Consider the following theorem. If f is a differentiable function of x and y, then the directional derivative of f in the direction of the unit vector u=cos(?)i+sin(?)j is Du?f(x,y)=fx?(x,y)cos(?)+fy?(x,y)sin(?). Use the theorem to find the directional derivative of the function at P in the direction of v. f(x,y)=21?y2?x2,P(1,2),v=3i+j