1. ## a derivative proble,

Hi!everyone:
Here is the question:

A car accelerates from rest to a maximum velocity at t=45 secs and then decelerates to a stop in t=120 secs. Distance traveled in meters is given by
s(t)=3t^2-(1/60)t^3, finds'(t) and s''(t)

2. Originally Posted by dragonballv
Hi!everyone:
Here is the question:

A car accelerates from rest to a maximum velocity at t=45 secs and then decelerates to a stop in t=120 secs. Distance traveled in meters is given by
s(t)=3t^2-(1/60)t^3, finds'(t) and s''(t)
your question gives a lot of unnecessary information. to find s'(t) and s''(t), you don't need to know the first sentence.

anyway, we are simply using the power rule here.

$\frac d{dt}t^n = nt^{n - 1}$

if there is a constant in front, don't worry about it, just take the derivative of the variable part of the function and multiply by the constant when done