Differentiation

A particle's position (in meters) along a line is given by $s(t) = t^{5/2} - 3t^2 + 4t - 1$, where $t$ is time in seconds. Determine the instantaneous velocity (in m/s) at $t = 9$ seconds.

Differentiate $f(x) = 3x^4 - 2x^{3/2} + \frac{5}{x}$ with respect to $x$.

The velocity of a particle (in m/s) is given by $v(t) = \sqrt{t} \cdot (t^{2/3} - 1)$. Find the acceleration (in m/s²) at $t = 64$ seconds.