There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {ln(5x + 6)}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln^{2}(5x + 6)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( ln^{2}(5x + 6)\right)}{dx}\\=&\frac{2ln(5x + 6)(5 + 0)}{(5x + 6)}\\=&\frac{10ln(5x + 6)}{(5x + 6)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{10ln(5x + 6)}{(5x + 6)}\right)}{dx}\\=&10(\frac{-(5 + 0)}{(5x + 6)^{2}})ln(5x + 6) + \frac{10(5 + 0)}{(5x + 6)(5x + 6)}\\=&\frac{-50ln(5x + 6)}{(5x + 6)^{2}} + \frac{50}{(5x + 6)^{2}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !