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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 6.1094e^{\frac{17.625x}{(x + 243.04)}}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 6.1094e^{\frac{17.625x}{(x + 243.04)}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 6.1094e^{\frac{17.625x}{(x + 243.04)}}\right)}{dx}\\=&6.1094e^{\frac{17.625x}{(x + 243.04)}}(17.625(\frac{-(1 + 0)}{(x + 243.04)^{2}})x + \frac{17.625}{(x + 243.04)})\\=&\frac{-107.678175xe^{\frac{17.625x}{(x + 243.04)}}}{(x + 243.04)(x + 243.04)} + \frac{107.678175e^{\frac{17.625x}{(x + 243.04)}}}{(x + 243.04)}\\ \end{split}\end{equation} \]





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


Return