Find the directional derivative of f(x, y) = 3x² - y² + 5xy at (2,-1) in the direction of -3i - 4j.
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- Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.Find the directional derivative of f(x,y,z)=-4x2+2y2-3z2 at the point (1, 4, 5) in the direction of the origin.Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in thedirectiona. toward the origin.
- Find the directional derivative of the functionxy2 + yz2 + zx² along the tangent to the curvex = t, y = t², z = t³ at the point (2,1,1)Find the directions in which the directional derivative of f(x,y) = x^2 + xy^3 at the point (2,1) has the value 2.Find the directions in which the directional derivative of f (x, y) = ye^-xy at the point (0,2) has the value of 1. (looks better in the picture) Answer: ______________
- Find the derivative of ƒ(x, y) = xey + cos (xy) at the point (2, 0) in the direction of v = 3i - 4j.Find the directional derivative of f(x, y) = x 2 + 4y 2 at the point P = (3, 2) in the direction pointing to the origin.Find the directional derivative of f(x, y) = 4x^3 + 3y^2at the point (2, -1) in the direction of v = {3; 4}