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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)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) = 1+5x/ỹ at the point (5, 1) in the direction of the vector =.
- Find the derivative of the vector functionr(t)=ta×(b+tc) wherea=⟨−4,−3,5⟩ b=⟨−1,2,5⟩ and c=⟨−3,−2,−3⟩Find the directional derivative of f(x, y, z) = 23x²y at the point (5, -5, 5) in the direction of the vector v = (3,4,-2).Compute the directional derivative of g(x,y)=sin(pi(5x-5y)) at point P(1,-3) in the direction (15/17, 8/17). Be sure to use a unit vector for the direction vector.
- Find the directional derivative of f(x,y)=yln(x+y) at the point (-3,5) in the direction of the vector 34 5'5Find the directional derivative of the function f(x, y) = xy at the point (x, y) = (4, -1) in the direction of the vector 7= 7+ 5j. Dif(4,-1) =Find the directional derivative of the function f(x, y, z) = Vx² + y² + z² at point (2,-3, 6) in the direction of the vector v 4i - 3k. %3D
- Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y) = 7ex sin(y), (0, ?/3), v = (-3,4)Find the directional derivative of the function f(x, y) = ln (x³ + y) at the point (-2, 2) in the direction of the vectorFind 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. |