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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2sqrt(4{x}^{4} + 5x) - x\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2sqrt(4x^{4} + 5x) - x\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2sqrt(4x^{4} + 5x) - x\right)}{dx}\\=&\frac{2(4*4x^{3} + 5)*\frac{1}{2}}{(4x^{4} + 5x)^{\frac{1}{2}}} - 1\\=&\frac{16x^{3}}{(4x^{4} + 5x)^{\frac{1}{2}}} + \frac{5}{(4x^{4} + 5x)^{\frac{1}{2}}} - 1\\ \end{split}\end{equation} \]





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