The gradient of the curve $y = 2x^3 - 9x^2 + 12x - 4$ at the point where $x = 1$ is
A3CORRECT
B6
C1
D0
GCEFurther MathematicsDifferentiation2019
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Why the answer is A, and why the others tempt you.
Differentiating: dy/dx = 6x² - 18x + 12. Substituting x = 1: 6(1)² - 18(1) + 12 = 6 - 18 + 12 = 0. Wait — that gives 0. Re-checking: 6 - 18 + 12 = 0, so the answer is D.
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