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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{2(x - \frac{sin(\frac{2pix}{a})*2pi}{a})}{a}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{2x}{a} - \frac{4pisin(\frac{2pix}{a})}{a^{2}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{2x}{a} - \frac{4pisin(\frac{2pix}{a})}{a^{2}}\right)}{dx}\\=&\frac{2}{a} - \frac{4picos(\frac{2pix}{a})*2pi}{a^{2}a}\\=& - \frac{8p^{2}i^{2}cos(\frac{2pix}{a})}{a^{3}} + \frac{2}{a}\\ \end{split}\end{equation} \]





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