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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({e}^{(({x}^{2}) - 4)}){\frac{1}{x}}^{8}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{{e}^{(x^{2} - 4)}}{x^{8}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{{e}^{(x^{2} - 4)}}{x^{8}}\right)}{dx}\\=&\frac{-8{e}^{(x^{2} - 4)}}{x^{9}} + \frac{({e}^{(x^{2} - 4)}((2x + 0)ln(e) + \frac{(x^{2} - 4)(0)}{(e)}))}{x^{8}}\\=&\frac{-8{e}^{(x^{2} - 4)}}{x^{9}} + \frac{2{e}^{(x^{2} - 4)}}{x^{7}}\\ \end{split}\end{equation} \]





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


Return