Toronto Math Forum
MAT2442014F => MAT244 MathLectures => Topic started by: Min Zhang on September 23, 2014, 06:32:35 PM

I have been reading the textbook and found the following part that I don't quite understand:
At the top of page 11, it says
By the chain rule the left side of Eq. (6) is the derivative of lnp900 with respect to t, so we have $d/dt\ lnp900 = 1/2$.
Then, by integrating both sides of Eq. (7), we obtain $\lnp900 = t/2+C$
So my questions are:
1. Why can we get those statements?
2. Why do we have to insert a constant number $C$?
Thank you very much!

In virtue of elementary knowledge of Calculus I.