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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{-ln({csc(\frac{πx}{2})}^{2})}{π}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{-ln(csc^{2}(\frac{1}{2}πx))}{π}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{-ln(csc^{2}(\frac{1}{2}πx))}{π}\right)}{dx}\\=&\frac{--2csc^{2}(\frac{1}{2}πx)cot(\frac{1}{2}πx)*\frac{1}{2}π}{π(csc^{2}(\frac{1}{2}πx))}\\=&cot(\frac{1}{2}πx)\\ \end{split}\end{equation} \]





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