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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (3 - ln(sqrt(1 - x*2)))(x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - xln(sqrt(-2x + 1)) + 3x\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - xln(sqrt(-2x + 1)) + 3x\right)}{dx}\\=& - ln(sqrt(-2x + 1)) - \frac{x(-2 + 0)*\frac{1}{2}}{(sqrt(-2x + 1))(-2x + 1)^{\frac{1}{2}}} + 3\\=& - ln(sqrt(-2x + 1)) + \frac{x}{(-2x + 1)^{\frac{1}{2}}sqrt(-2x + 1)} + 3\\ \end{split}\end{equation} \]





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