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 t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {ln(ln(t))}^{\frac{1}{5}}\ with\ respect\ to\ t:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( {ln(ln(t))}^{\frac{1}{5}}\right)}{dt}\\=&({ln(ln(t))}^{\frac{1}{5}}((0)ln(ln(ln(t))) + \frac{(\frac{1}{5})(\frac{1}{(ln(t))(t)})}{(ln(ln(t)))}))\\=&\frac{1}{5tln(t)ln^{\frac{4}{5}}(ln(t))}\\ \end{split}\end{equation} \]





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


Return