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





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