find the stationary point of the function f(x,y) = 4x^2 + 9y^2 + 8x - 36y +24
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The first derivative can be used to determine the nature of the stationary points once we have found the solutions to dy dx = 0. Consider the function y = −x2 + 1. By differentiating and setting the derivative equal to zero, dy dx = −2x = 0 when x = 0, we know there is a stationary point when x = 0.
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