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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{1}{3})sqrt(({(kx)}^{2}) - 2k*3.14159({x}^{4}))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.333333333333333sqrt(-6.28318kx + k^{2}x^{2})\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.333333333333333sqrt(-6.28318kx + k^{2}x^{2})\right)}{dx}\\=&\frac{0.333333333333333(-6.28318k + k^{2}*2x)*0.5}{(-6.28318kx + k^{2}x^{2})^{\frac{1}{2}}}\\=&\frac{0.333333333333333k^{2}x}{(-6.28318kx + k^{2}x^{2})^{\frac{1}{2}}} - \frac{1.04719666666667k}{(-6.28318kx + k^{2}x^{2})^{\frac{1}{2}}}\\ \end{split}\end{equation} \]





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