Let f(x,y) = 1 + x2 - cos(5y). Find all critical points and classify them as loc

Question

Let f(x,y) = 1 + x2 - cos(5y). Find all critical points and classify them as local maxima, local minima, saddle points, or none of these. critical points: (give your points as a comma separated list of(x,y) coordinates, if your answer includes points that occur at a sequence of values, e.g., at every odd integer, or at any constant multiple of another value, use m for any nonzero even integer, n for any non-zero odd integer, and/or k for other arbitrary constants.) classification: (give your answers in a comma separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points)

Explanation / Answer

any point which satisfy 2x + cos(5y) =0 will be the critical point

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