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 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ In(sin(x)}^{cos(x)}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = Insin(x)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( Insin(x)\right)}{dx}\\=&Incos(x)\\=&Incos(x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( Incos(x)\right)}{dx}\\=&In*-sin(x)\\=&-Insin(x)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( -Insin(x)\right)}{dx}\\=&-Incos(x)\\=&-Incos(x)\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( -Incos(x)\right)}{dx}\\=&-In*-sin(x)\\=&Insin(x)\\ \end{split}\end{equation} \]





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