There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ a{(1 + 4x)}^{t}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = a(4x + 1)^{t}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( a(4x + 1)^{t}\right)}{dx}\\=&a((4x + 1)^{t}((0)ln(4x + 1) + \frac{(t)(4 + 0)}{(4x + 1)}))\\=&\frac{4at(4x + 1)^{t}}{(4x + 1)}\\ \end{split}\end{equation} \]

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