Question

Maxim/Minimum Extrema derivatives

One model of worldwide oil production is the function given by the following formula where P(t) is the # of barrels in billions produced in a year, t years after 1933. According to this model, in what yaer did worldwide oil production achieve an absolute maximum? What was that maximum?

P(t)=0.0000000218t^4-0.0000167t^3 0.00156t^2 0.002t 0.22 0 (theyre greater than or equal too)

Answer 1

so every time the phrase 'minimum' or 'maximum' show up in a problem with an equation, it means we need to do the math operation of taking the derivative. make senes?can you find the derivative of the equation given?

4.1billion barrels in 2005