Rate of Change of Medicine Amount in Blood after Injection | M(t) = -1/3t^2 + t

[TayTayDatDude]

Homework Statement

A medicine is administered to a patient. The amount, M, of the medicine in milligrams, in 1 mL of the patient's blood t hours after the injection is given by
M(t) = -1/3t^2 + t where 0<=t<=3

Find the rate of change of the amount, M, 2 hours after the injection.

Homework Equations

The Attempt at a Solution

No idea.

 

[snipez90]

Differentiate the equation and substitute t = 2 into M'(t).

 

[TayTayDatDude]

Differentiate the equation and substitute t = 2 into M'(t).

Elaborate please.

 

[NoMoreExams]

Elaborate please.

You have M(t), what does M'(t) = ? Now plug in t into M'(t) i.e. evaluate M'(2)