A supply function is given S(p)=150e^0.004p widgets and p is the price for each widget. Find marginal supply?

A supply function is given S(p)=150e^0.004p widgets and p is the price for each widget. Find marginal supply and interperet what it means..... if someone can help me, I would be greatful, this is for my final review and I am clueless on this stuff... help me to understand it please

A supply function is given S(p)=150e^0.004p widgets and p is the price for each widget. Find marginal supply?
In this context, marginal means derivative. The supply function is S(p) = 150 e^(0.004p). The derivative is


S'(p) = (0.004)*150e^(0.004p) = 0.6 e^(0.004p).


Recall that a derivative is the instantaneous rate of change. That said, the marginal supply could be interpreted as the change in supply as the price changes.