There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ log_{2}^{{4}^{x} + 1} - x\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( log_{2}^{{4}^{x} + 1} - x\right)}{dx}\\=&(\frac{(\frac{(({4}^{x}((1)ln(4) + \frac{(x)(0)}{(4)})) + 0)}{({4}^{x} + 1)} - \frac{(0)log_{2}^{{4}^{x} + 1}}{(2)})}{(ln(2))}) - 1\\=&\frac{{4}^{x}ln(4)}{({4}^{x} + 1)ln(2)} - 1\\ \end{split}\end{equation} \]

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