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.
Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.