Mathematics
语言:中文
Language:English

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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(X*0.0004)}{(10 + 0.0002X)} + (X*0.00000008)\ with\ respect\ to\ X:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{0.0004X}{(0.0002X + 10)} + 0.00000008X\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{0.0004X}{(0.0002X + 10)} + 0.00000008X\right)}{dX}\\=&0.0004(\frac{-(0.0002 + 0)}{(0.0002X + 10)^{2}})X + \frac{0.0004}{(0.0002X + 10)} + 0.00000008\\=&\frac{-0.00000008X}{(0.0002X + 10)(0.0002X + 10)} + \frac{0.0004}{(0.0002X + 10)} + 0.00000008\\ \end{split}\end{equation} \]





Your problem has not been solved here? Please take a look at the  hot problems !


Return