Find the rate of change of f at p in the direction of the, Mathematics

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Find the rate of change of f at p in the direction of the

Consider F(x,y,z)= √(x + yz), P(3,1,1,) and u= (2/7, 6/7, 3/7)

a) Find the gradient of F.

b) Evaluate the gradient at point P.

c) Find the rate of change of f at P in the direction of the vector u.

d) Find an equation of the tangent plane to √(x + yz) = 2j at the point P(3,1,1).

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Mathematics: Find the rate of change of f at p in the direction of the

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