Question

Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. xy) =x"cos(y) +x"win(x) cos(x)sin(y). Plo The direction in which the given function txy_f(xy)-x3cos(v)+x2vsin(x) + cos(x)sin(y)increases most rapidly at P 0주 is u: " (Type exact answers, using radicals as n (xy)=x3cos(y)+x"win(x)-cos(x)sin(y) The direc on in which the given function f(xy- is eases most rapidly at (Type exact answers, using radicals as needed The derivative of the given function fixy)- JX)cos(y+ysin(x) cos(x)sin is the direction in which the function increases most rapoay at Pl 0 Type an exact answer, using radicals as needed.) fxy)-x3cos( )+x"win(x) + cos(x)sin( ), edirection in which the function decreases most rapidly at P is D The derivative of the given function f 0 y- Type an exact answer, using radicals as needed.)

Answer 1