A curve C C\,C has equation y=e2xtanx,x≠(2n+1)π2\displaystyle y = e^{2x} \tan x, x \neq (2n + 1) \frac{\pi}{2}y=e2xtanx,x=(2n+1)2π. Show that the turning points on C C\,C occur where tanx=−1\tan x = -1tanx=−1.
Find an equation of the tangent to C C\,C at the point where x=0x = 0x=0.
Practise Edexcel A Level Old Maths Differentiation with exam-style questions for A Level Old Maths. 14 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) 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.