The largest interval (a, b) of k ∈ R,for which the point (0, 0) is the critical point of the function f(x, y) = x2 + kxy + y
Question
Solution 1
To find the interval for k where (0,0) is a critical point of the function f(x, y) = x² + kxy + y, we first need to find the partial derivatives of the function and set them equal to zero.
The partial derivative of f with respect to x is: fx = 2x + ky The partial derivative of f with respect to y i Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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