A particle P moves along a straight line and its position is given by the function P ( t ) = 1/2(t)^4-3t^2-1, where P(t) is in meters and t is in seconds....

Question

The instantaneous rate of change of the position function P when t = 2 seconds is...

1. 20 m/s
2. 4 m/s
3. -4 m/s
4. 8 m/s
5. -8 m/s

Answer 1

Well it's just P'(2)

P'(t) = 2t³ - 6t, so just substitute t=2 here