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Hi Randy,

I don't know how to take the derivative of the 2 below function.

g(N)=rN(a-N)(1-N/k)

differentiate in respect of N; a,k and r are just constants.

f(N)=r(aN-N^2)(1-N/k)

differentiate in respect of N; r, k and a are just constants.

I tried to simplify them and them both seem to simplify into the same function.

Many Thanks for all your help,

Sam.

The easiest way to take the derivatives is to first multiply out the terms and then use the easy formula for derivatives:

d(cx^m)/dx = mcx^(m-1) where c is a constant (or at least not a function of x).

So I get

g(N) = rN(a-N)(1-N/k) = raN-rN^2-raN^2/k+rN^3/k and

dG(N)/dN = ra-2rN-2raN/k+3rN^2/k.

The other function is the same if you multiply it out.

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