3.5.2 Differentiation (A-level only)

A robotic arm's radial extension $s$ is modeled by the function:

\frac{3\theta^6}{\sin(4\theta)}

where $θ\theta$ is the joint angle in radians, for $\theta < \frac{\pi}{4}$ .

Find the exact expression for $dsdθ\frac{ds}{d\theta}$ .

[4]

A robotic arm's radial extension $s$ is modeled by the function:

\frac{3\theta^6}{\sin(4\theta)}

where $θ\theta$ is the joint angle in radians, for $\theta < \frac{\pi}{4}$ .

Find the exact expression for $dsdθ\frac{ds}{d\theta}$ .

[4]

3.5.2 Differentiation (A-level only) Questions