There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(b + \frac{vt}{a} + vt)\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(b + \frac{vt}{a} + vt)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(b + \frac{vt}{a} + vt)\right)}{dt}\\=&\frac{(0 + \frac{v}{a} + v)}{(b + \frac{vt}{a} + vt)}\\=&\frac{v}{(b + \frac{vt}{a} + vt)a} + \frac{v}{(b + \frac{vt}{a} + vt)}\\ \end{split}\end{equation} \]

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