A curve has equation
y=2x3−3x2−12x+7 y = 2x^3 - 3x^2 - 12x + 7 y=2x3−3x2−12x+7Using calculus, find the xxx-coordinates of the stationary points of the curve.
Justify, by further calculus, the nature of each stationary point.
375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.