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 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {e}^{2}x - 2{x}^{\frac{1}{5}}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xe^{2} - 2x^{\frac{1}{5}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( xe^{2} - 2x^{\frac{1}{5}}\right)}{dx}\\=&e^{2} + x*2e*0 - \frac{2*\frac{1}{5}}{x^{\frac{4}{5}}}\\=&e^{2} - \frac{2}{5x^{\frac{4}{5}}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( e^{2} - \frac{2}{5x^{\frac{4}{5}}}\right)}{dx}\\=&2e*0 - \frac{2*\frac{-4}{5}}{5x^{\frac{9}{5}}}\\=&\frac{8}{25x^{\frac{9}{5}}}\\ \end{split}\end{equation} \]





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


Return