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)3θ6where 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.
375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, 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). Each one has a worked solution and a mark scheme showing where the marks go.