The curve C C\,C has equation
x=2tan(y+π4)x∈R,−3π4<y<π4x = 2\tan\left(y + \frac{\pi}{4}\right) \quad x \in \mathbb{R}, \quad -\frac{3\pi}{4} < y < \frac{\pi}{4}x=2tan(y+4π)x∈R,−43π<y<4π
Show that
dydx=ax2+b\frac{dy}{dx} = \frac{a}{x^2 + b}dxdy=x2+ba
where a a\,a and b b\,b are integers to be found.
The point P P\,P with yyy-coordinate 0 lies on CCC. The tangent to C C\,C at P P\,P crosses the xxx-axis at the point QQQ. Find the exact xxx-coordinate of QQQ.
Practise Edexcel A Level Maths 9.7 Parametric Differentiation with exam-style questions for A Level Maths. 36 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.