z²+y² 1. Let f(x, y) = xe Answer the following. (a) Compute the direction derivative of f at the point (1, 2), in the direction of (2, 1). Simplify your answer, but do not round! (b) In which direction is the directional derivative of f maximal at the point (0, 2)? Simplify your answer, but do not round! (c) What is the directional derivative of f at (0, 2) in that direction from part (b)? Simplify your answer, but do not round!

Q: Given the following relation between x and y answer the following questions. a) Using implicit…

A:

Q: Let f(x, y) = 10-3r² +4. (a) Find the gradient Vƒ(2,-3) of f at the point P(2,−3). (b) Find the…

A:

Q: Find the gradient Vf and the directional derivative at the point P (1,–1,2) in the direction a =…

A: The given function f(x, y, z) = x3z - yx2 + z2.The gradient of a function f is defined as∇f(x, y, z)…

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A:

Q: b. Find the angles 0 (with respect to the positive x-axis) associated with the directions of maximum…

A:

Q: 4) Let f(x, y) = x² – 2xy a) Find the gradient of f at the point (1, –2). b) Use the result of (a)…

A:

Q: 2 - What is the directional derivative of the function f(x,y,z) = x3 - 2xy +z at point Ao= (1,1,0)…

A: