Find the stationary point of the graph of y = 2x + 5 + 27x^(-2)
y = 2x + 5 + 27x-2To find a stationary point, find the gradient function by differentiating with respect to x:y' = 2 -54x-3To find a stationary point, let the gradient function equal zero:2- 54x-3 = 02 = 54x-31/27=x-327=x3x = 3Let x = 3 in the graph function:y = 2x3 + 5 +27 x 1/9y=14Therefore, the stationary point is (3,14).
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