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  3. a) find the directional derivative of the function

A) Find the directional derivative of the function at the given point in the direction of...

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Basic Math

A) Find the directional derivative of the function at the givenpoint in the direction of vector v. f(x, y) = 5 + 6x√y, (5, 4), v =<8, -6>

Duf(5, 4) =

B) Find the directional derivative,Duf, of the function at the givenpoint in the direction of vector v.

f(x, y)=ln(x2+y2), (4, 5),v = <-5, 4>

Duf(4, 5) =

C) Find the maximum rate of change of f at the givenpoint and the direction in which it occurs.

f(x, y) =3 y2/x,(2, 4)

direction of maximum rate of change (in unit vector) = <   ,   >
maximum rate of change =

D) Find the directional derivative of f at the givenpoint in the direction indicated by the angle θ.

f(x, y) = 2x sin(xy), (5,0), θ = π/4

Duf =

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