A robotic arm's radial extension sss is modeled by the function:
s=3θ6sin(4θ)s = \frac{3\theta^6}{\sin(4\theta)}s=sin(4θ)3θ6
where θ\thetaθ is the joint angle in radians, for 0<θ<π40 < \theta < \frac{\pi}{4}0<θ<4π.
Find the exact expression for dsdθ\frac{ds}{d\theta}dθds.
Practise Edexcel A Level Maths 9.5 The Quotient Rule with exam-style questions for A Level Maths. 29 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.