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 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ arsech(x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( arsech(x)\right)}{dx}\\=&ar*-sech(x)tanh(x)\\=&-artanh(x)sech(x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -artanh(x)sech(x)\right)}{dx}\\=&-arsech^{2}(x)sech(x) - artanh(x)*-sech(x)tanh(x)\\=&-arsech^{3}(x) + artanh^{2}(x)sech(x)\\ \end{split}\end{equation} \]





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