There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ e^{5x}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( e^{5x}\right)}{dx}\\=&e^{5x}*5\\=&5e^{5x}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 5e^{5x}\right)}{dx}\\=&5e^{5x}*5\\=&25e^{5x}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 25e^{5x}\right)}{dx}\\=&25e^{5x}*5\\=&125e^{5x}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 125e^{5x}\right)}{dx}\\=&125e^{5x}*5\\=&625e^{5x}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !