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





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