A curve has the equation y=3x2−5x+7y = 3x^2 - 5x + 7y=3x2−5x+7
Find the equation of the tangent to the curve at the point P(2,9)P(2, 9)P(2,9). Write your answer in the form y=mx+cy = mx + cy=mx+c, where m m\,m and c c\,c are integers to be found.
28 exam-style questions on Edexcel AS 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.