Question: Let f be a function of two variables that has continuous partial derivatives and consider the points A(2,2), B(6,2), C(2,4), and D(11,14). The directional derivative

Let f be a function of two variables that has continuous partial derivatives and consider the points A(2,2), B(6,2), C(2,4), and D(11,14). The directional derivative of f at A in the direction of the vector AB is 5 and the directional derivative at A in the direction of AC is 6. Find the directional derivative of f at A in the direction of the vector AD.

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