Reference no: EM131003822
1. For f(x, y) = x3y2 + 2xy + sin(xy), compute fx, fy, fxx, fyy, and fxy,
2. For f(x, y) = 4x + 3y - xy, answer the following
a. ∇f(2, 1) =
b. Find the directional derivative of the function f at the point (2, 1) in the direction of the vector v→ = 3i→ + 4j→
c. What is the maximum value of the directional derivative of f at the point (2, 1).
3. Find the equation of the plane tangent to the graph of
f(x, y) = 2x3 -y2 + xy, at the point (2, -3, 1).
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: Find the directional derivative of the function f at the point (2, 1) in the direction of the vector v→ = 3i→ + 4j→. What is the maximum value of the directional derivative of f at the point (2, 1).
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