Chain Rule

The height $h(t)$ of a bouncing ball is modeled by $h(t) = \sin^3(2t)$ meters, where $t$ is time in seconds. Find the vertical velocity $\frac{dh}{dt}$ at $t = \frac{\pi}{8}$ seconds.

The displacement of a pendulum from its equilibrium position is given by $s(t) = \sin(3t^2 + 2t)$ cm. Find the velocity of the pendulum at $t = 1$ second.

Find the derivative of $f(x) = (2x^3 - 5x)^4$ and evaluate it at $x = 2$.