Question :
201) Find the direction in which the function increasing most : 1757201
201) Find the direction in which the function is increasing most rapidly at the point P0.
f(x, y) = xey - ln(x), P0(-3, 0)
202) Find the direction in which the function is increasing most rapidly at the point P0.
f(x, y, z) = xy - ln(z), P0(1, -2, 2)
203) Find the direction in which the function is increasing most rapidly at the point P0.
f(x, y, z) = x y2 + z2, P0(1, 1, 2)
204) Find the derivative of the function f(x, y) = x2 + xy + y2 at the point (-7, -6) in the direction in which the function increases most rapidly.
A) 
B) 
C) 
D) 3
205) Find the derivative of the function f(x, y) = x2 + xy + y2 at the point (6, 7) in the direction in which the function decreases most rapidly.
A) - 
B) - 
C) - D) -3
206) Find the derivative of the function f(x, y) = exy at the point (0, -5) in the direction in which the function increases most rapidly.
A) 15 B) 10 C) 5 D) 6
207) Find the derivative of the function f(x, y) = exy at the point (0, 3) in the direction in which the function decreases most rapidly.
A) -3 B) -9 C) -6 D) -2
208) Find the derivative of the function f(x, y) = tan-1 y/x at the point (4, -4) in the direction in which the function increases most rapidly.
209) Find the derivative of the function f(x, y) = tan-1 y/x at the point (5, -5) in the direction in which
the function decreases most rapidly.
210) Find the derivative of the function f(x, y, z) = ln(xy + yz + zx) at the point (5, 10, 15) in the direction in which the function increases most rapidly.
