Q35Comprehension1 Mark22 Dec 2024
Passage
Based on the above data answer the given subquestions. Consider the function f(x, y) = x^2 y + xy^2 - 2x + ky^2. Let be a point that lies on the tangent line to the graph of f at in the direction of (-1/sqrt(2), 1/sqrt(2)).
If the directional derivative of f at the point in the direction (-1/sqrt(2), 1/sqrt(2)) is -17/sqrt(2), then find the value of k.
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