The surface profile of a high-precision optical lens is modeled by the curve C C\,C with equation
y=(5x−14)4y = (5x - 14)^4y=(5x−14)4
Find dydx\dfrac{dy}{dx}dxdy.
The point P(3,1)P(3, 1)P(3,1) lies on CCC. Find the equation of the normal to C C\,C at PPP. Write your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where a,b a, b\,a,b and c c\,c are integers to be found.
Practise Edexcel A Level Maths 9.3 The Chain Rule with exam-style questions for A Level Maths. 50 questions, matched to the Edexcel A Level Maths (9MA0) 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.