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)=0.218t^4-0.167t^3 0.00156t^2 0.002t 0.22 0 (theyre greater than or equal too)

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

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

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