The curve CCC has equation
y=(2x−5)4 y = (2x - 5)^4 y=(2x−5)4Find dydx\dfrac{dy}{dx}dxdy.
The point P(2,1)P(2, 1)P(2,1) lies on CCC. Find the equation of the normal to CCC at PPP. Write your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where a,ba, ba,b and ccc are integers to be found.
375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, 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). Each one has a worked solution and a mark scheme showing where the marks go.