Differential equation problem i

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The discussion revolves around a differential equation modeling population dynamics, specifically dP/dt = 1.2P(1-P/4200). Participants inquire about determining when the population is increasing or decreasing and identifying equilibrium solutions. The initial confusion about whether to plug in numbers or find the derivative is clarified, leading to a resolution of the problem. Ultimately, the focus is on understanding the behavior of the population based on the given equation. The thread concludes with the problem being solved.
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Homework Statement


A population is modeled by the differential equation

dP/dt= 1.2P(1-P/4200)

(a) For what values of P is the population increasing?
(b) For what values of P is the population decreasing?
(c) What are the equillibrium solutions?

Do I just plug in numbers or do I find the derivative and then plug in numbers.
 
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Never mind I figured out the problem.
 

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