f(x)=2x3+5x2−5x+1f(x) = 2x^3 + 5x^2 - 5x + 1f(x)=2x3+5x2−5x+1
The points A A\,A and B B\,B lie on the curve y=f(x)y = f(x)y=f(x). The gradient at both A A\,A and B B\,B is -1. Find the coordinates of A A\,A and BBB.
264 exam-style questions on Edexcel A Level Maths Differentiation, covering 12.1 Gradients of Curves, 12.2 Differentiation from first principles, 12.3 Differentiating x^n, 12.4 Differentiating Quadratics, 12.5 Differentiating functions with two or more terms, 12.6 Gradients, Tangents and Normals, 12.7 Increasing and Decreasing Functions, 12.8 Second Order Derivatives, 12.9 Stationary Points, 12.10 Sketching Gradient Functions, and 12.11 Modelling with Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.