A robotic arm's torque τ\tauτ (in Newton-metres) during a specific maneuver is modeled as a function of the joint angle θ\thetaθ (in radians) by: τ(θ)=4θ3+5θsinθ,0<θ<π\tau(\theta) = \frac{4\theta^3 + 5\theta}{\sin \theta}, \quad 0 < \theta < \piτ(θ)=sinθ4θ3+5θ,0<θ<π Find an expression for the rate of change of torque with respect to the angle, dτdθ\displaystyle \frac{d\tau}{d\theta}dθdτ.
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.