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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{({({(x + 6378000)}^{2} - {6378000}^{2})}^{\frac{1}{2}})}{1000}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{1000}(x^{2} + 12756000x)^{\frac{1}{2}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{1000}(x^{2} + 12756000x)^{\frac{1}{2}}\right)}{dx}\\=&\frac{1}{1000}(\frac{\frac{1}{2}(2x + 12756000)}{(x^{2} + 12756000x)^{\frac{1}{2}}})\\=&\frac{x}{1000(x^{2} + 12756000x)^{\frac{1}{2}}} + \frac{6378}{(x^{2} + 12756000x)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]





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