It is given that f(x)=2x3+x2−18x+2f(x) = 2x^3 + x^2 - 18x + 2f(x)=2x3+x2−18x+2
The points A A\,A and B B\,B lie on the curve y=f(x)y = f(x)y=f(x), and the gradient of the curve is 2 at both A A\,A and BBB.
Find the coordinates of A A\,A and BBB.
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.