Tutorial Exercise Use the gradient to find the directional derivative of the function at P in the direction of Q. f(x, y) = 3x² - y2 + 4, P(2, 4), Q(5, 9) Step 1 Since f is a polynomial, all the partial derivatives are continuous. Therefore, f is differentiable and you can apply the following theorem: if f is a differentiable function of x and y, then the directional derivative of f in the direction of the unit vector u is Duf(x, y) = Vf(x, y) · u. Find the given directional vector PQ so that we can find the unit vector. PQ = v - 2)i + (9 – 4)j i +

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