Find the stationary points of the curve given by the following function: f(x) = x^2 + 5x + 2

Differentiate the curve to get the gradient function: f'(x)= 2x + 5. Solve for x when f'(x) = 0 --> 2x + 5 = 0, 2x = -5, x = -5/2 Substitute into the original equation to find y: (-2.5)^2 + 5 * -2.5 + 2 = 6.25 - 12.5 + 2 = -4.25