The gradient of a curve C C\,C is given by dydx=(x2+3)2x2,x≠0\displaystyle \frac{dy}{dx} = \frac{(x^2 + 3)^2}{x^2}, \quad x \neq 0dxdy=x2(x2+3)2,x=0.
Show that dydx=x2+6+9x−2\displaystyle \frac{dy}{dx} = x^2 + 6 + 9x^{-2}dxdy=x2+6+9x−2.
The point (3,20)(3, 20)(3,20) lies on CCC. Find an equation for the curve C C\,C in the form y=f(x)y = f(x)y=f(x).
19 exam-style questions on Edexcel A Level Old Maths Differentiation and Integration 1. Each one has a worked solution and a mark scheme showing where the marks go.