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- Find the directional derivative of g(a, b) = cos(3a + 4b) at the π point ( along the direction of the vector (-4,-3)The directional derivative of the functionf (x, y) = -y³ at the point (-3, –2) in the direction of the vector i = (-4, –3).a) Find the directional derivative of f(x, y, z) = x²yz + 4xz² at (1, -2, 1) in the direction 2i - j - 2k.
- Let v = = (3,4, 12) . Find the directional derivative of f(x,y, z) = x – y² +3z³ in the direction of v.Find the directional derivative of the function f(x, y, z) = x² - y +2z at the point P(1,2,3) in the direction of the vector 4i-2j+k.Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.
- Consider the function defined by f(x,y) = 4xy - 2x2. Evaluate the directional derivative of f at point(1,-1) in direction of the vector which subtends an angle of pi/6 with the positive x-axis.Find the directional derivative of the function f(x, y) = x³-y³ at the point (4,3), in the direction of the vector v = i + 2j.Find the directional derivative of the function: f(x, y) z² + 4y at the point (0, 0) in the direction of the vector (– 3, 1). You may enter your answer as an expression or as a decimal with at least 4 significant figures. |