There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 0.5 * {10}^{(7.84135 - \frac{1750}{x})} + 0.3 * {10}^{(8.0884 - \frac{1985}{x})} + 0.2 * {10}^{(8.11404 - \frac{2129}{x})} - 760\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.5 * {10}^{(\frac{-1750}{x} + 7.84135)} + 0.3 * {10}^{(\frac{-1985}{x} + 8.0884)} + 0.2 * {10}^{(\frac{-2129}{x} + 8.11404)} - 760\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.5 * {10}^{(\frac{-1750}{x} + 7.84135)} + 0.3 * {10}^{(\frac{-1985}{x} + 8.0884)} + 0.2 * {10}^{(\frac{-2129}{x} + 8.11404)} - 760\right)}{dx}\\=&0.5({10}^{(\frac{-1750}{x} + 7.84135)}((\frac{-1750*-1}{x^{2}} + 0)ln(10) + \frac{(\frac{-1750}{x} + 7.84135)(0)}{(10)})) + 0.3({10}^{(\frac{-1985}{x} + 8.0884)}((\frac{-1985*-1}{x^{2}} + 0)ln(10) + \frac{(\frac{-1985}{x} + 8.0884)(0)}{(10)})) + 0.2({10}^{(\frac{-2129}{x} + 8.11404)}((\frac{-2129*-1}{x^{2}} + 0)ln(10) + \frac{(\frac{-2129}{x} + 8.11404)(0)}{(10)})) + 0\\=&\frac{875 * {10}^{(\frac{-1750}{x} + 7.84135)}ln(10)}{x^{2}} + \frac{595.5 * {10}^{(\frac{-1985}{x} + 8.0884)}ln(10)}{x^{2}} + \frac{425.8 * {10}^{(\frac{-2129}{x} + 8.11404)}ln(10)}{x^{2}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!