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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ xsqrt(1 - {x}^{2})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xsqrt(-x^{2} + 1)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( xsqrt(-x^{2} + 1)\right)}{dx}\\=&sqrt(-x^{2} + 1) + \frac{x(-2x + 0)*\frac{1}{2}}{(-x^{2} + 1)^{\frac{1}{2}}}\\=&sqrt(-x^{2} + 1) - \frac{x^{2}}{(-x^{2} + 1)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]





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