There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (x - 3){x}^{\frac{1}{2}}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{\frac{3}{2}} - 3x^{\frac{1}{2}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{\frac{3}{2}} - 3x^{\frac{1}{2}}\right)}{dx}\\=&\frac{3}{2}x^{\frac{1}{2}} - \frac{3*\frac{1}{2}}{x^{\frac{1}{2}}}\\=&\frac{3x^{\frac{1}{2}}}{2} - \frac{3}{2x^{\frac{1}{2}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !