Find the coordinates of the stationary point of the curve $y = x^2 - 4x + 7$.
A(2, 3)CORRECT
B(-2, 3)
C(2, -3)
D(4, 7)
GCEFurther MathematicsDifferentiation2022
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Why the answer is A, and why the others tempt you.
At a stationary point, dy/dx = 0. Differentiating: dy/dx = 2x - 4 = 0, so x = 2. Substituting back: y = (2)² - 4(2) + 7 = 4 - 8 + 7 = 3. The stationary point is (2, 3). Option B uses x = -2, C has a sign error in y, and D uses the coefficient of x instead of solving dy/dx = 0.
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