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 < \pi τ(θ)=sinθ4θ3+5θ,0<θ<πFind an expression for the rate of change of torque with respect to the angle, dτdθ\displaystyle \frac{d\tau}{d\theta}dθdτ.
Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only), matched to the AQA A Level Maths (7357) 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.
