For the function f(x,y, z) := 10r + 7y³ + 723 + 9ry + 6yz+ 12rz+ 19 find the gradient at the point (1, 1, 1): Vf(1,1,1) = ( Find the directional derivative off at the point (1,1,1) in the direction of the vector (6, 3,6): Notice that you might need to normalize the vector (6, 3, 6). To derivate in the direction of a given vector means to derivate along the unit vector pointing in the same direction.

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A: The answer provided below has been developed in a clear step by step manner.

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A: Here we will evaluate each expression.

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Q: 2. Consider the function f(x, y) = a) Find the directional derivative of f in the direction of the…

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

A: Here we use the formula, Dvf(x,y)=∇f(x,y).v

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A: we have to find the directional derivative