(i) The curve CCC has equation y=g(x)y = \text{g}(x)y=g(x) where g(x)=e2xsec3x,−π6<x<π6\text{g}(x) = \text{e}^{2x} \sec 3x, \quad -\frac{\pi}{6} < x < \frac{\pi}{6}g(x)=e2xsec3x,−6π<x<6π
Find g′(x)\text{g}'(x)g′(x).
Hence find the xxx-coordinate of the stationary point of CCC.
A different curve has equation x=ln(cosy),0<y<π2x = \ln(\cos y), \quad 0 < y < \frac{\pi}{2}x=ln(cosy),0<y<2π Show that dydx=−exf(x)\frac{\text{d}y}{\text{d}x} = -\frac{\text{e}^x}{\text{f}(x)}dxdy=−f(x)ex where f(x)\text{f}(x)f(x) is a function of ex\text{e}^xex that should be found.
Practise Edexcel A Level Maths 9.4 The Product Rule with exam-style questions for A Level Maths. 30 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.