The surface profile of a high-precision optical lens is modeled by the curve C C\,C with equation
y=(5x−14)4 y = (5x - 14)^4 y=(5x−14)4Find 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 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.
