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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -{(5 - {(x - 1)}^{2})}^{\frac{1}{2}} - 2 - x\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -(-x^{2} + 2x + 4)^{\frac{1}{2}} - x - 2\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -(-x^{2} + 2x + 4)^{\frac{1}{2}} - x - 2\right)}{dx}\\=&-(\frac{\frac{1}{2}(-2x + 2 + 0)}{(-x^{2} + 2x + 4)^{\frac{1}{2}}}) - 1 + 0\\=&\frac{x}{(-x^{2} + 2x + 4)^{\frac{1}{2}}} - \frac{1}{(-x^{2} + 2x + 4)^{\frac{1}{2}}} - 1\\ \end{split}\end{equation} \]





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