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





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