What is the maximum value of the directional derivative

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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).

Reference no: EM131003822

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