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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{-1}{0.00687})arcsin((\frac{1}{200})(x - 1600))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -145.56040756914arcsin(0.005x - 8)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -145.56040756914arcsin(0.005x - 8)\right)}{dx}\\=&-145.56040756914(\frac{(0.005 + 0)}{((1 - (0.005x - 8)^{2})^{\frac{1}{2}})})\\=&\frac{-0.7278020378457}{(-0.000025x^{2} + 0.04x + 0.04x - 63)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]





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