I hope i did all of that correctly. Can someone check my math on the derivatives...and is there anyway to simplify them? Now i must show that the population P reaches half the limiting population M, when P\'\'=0 [ie when P\'\'=0 P=M/2] what should i do here? Solution You could have tried it in another way. 1/P = (1/M) + ((1/P0) - (1/M)) eMR(t0-t) Now differentiating it woul;d be easier.

1. I hope i did all of that correctly.
Can someone check my math on the derivatives...and is there anyway to simplify them?
Now i must show that the population P reaches half the limiting population M, when P''=0 [ie
when P''=0 P=M/2]
what should i do here?
Solution
You could have tried it in another way.
1/P = (1/M) + ((1/P0) - (1/M)) eMR(t0-t)
Now differentiating it woul;d be easier