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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt((48x - 48){\frac{1}{x}}^{2})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sqrt(\frac{48}{x} - \frac{48}{x^{2}})\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( sqrt(\frac{48}{x} - \frac{48}{x^{2}})\right)}{dx}\\=&\frac{(\frac{48*-1}{x^{2}} - \frac{48*-2}{x^{3}})*\frac{1}{2}}{(\frac{48}{x} - \frac{48}{x^{2}})^{\frac{1}{2}}}\\=&\frac{-24}{(\frac{48}{x} - \frac{48}{x^{2}})^{\frac{1}{2}}x^{2}} + \frac{48}{(\frac{48}{x} - \frac{48}{x^{2}})^{\frac{1}{2}}x^{3}}\\ \end{split}\end{equation} \]





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


Return