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Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 integer calculations
[1/1 Integer column vertical calculation]
Question type: Integer multiplication
Original question: 82749604554526803145284712108600665086957291831296*82749604554526803145284712108600665086957291831296split}【1/1】求函数(\frac{1}{({(\frac{c}{x})}^{b} + 1)})(a - d) + d 关于 b 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{a}{((\frac{c}{x})^{b} + 1)} - \frac{d}{((\frac{c}{x})^{b} + 1)} + d\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{a}{((\frac{c}{x})^{b} + 1)} - \frac{d}{((\frac{c}{x})^{b} + 1)} + d\right)}{db}\\=&(\frac{-(((\frac{c}{x})^{b}((1)ln(\frac{c}{x}) + \frac{(b)(0)}{(\frac{c}{x})})) + 0)}{((\frac{c}{x})^{b} + 1)^{2}})a + 0 - (\frac{-(((\frac{c}{x})^{b}((1)ln(\frac{c}{x}) + \frac{(b)(0)}{(\frac{c}{x})})) + 0)}{((\frac{c}{x})^{b} + 1)^{2}})d + 0 + 0\\=&\frac{-a(\frac{c}{x})^{b}ln(\frac{c}{x})}{((\frac{c}{x})^{b} + 1)^{2}} + \frac{d(\frac{c}{x})^{b}ln(\frac{c}{x})}{((\frac{c}{x})^{b} + 1)^{2}}\\ \end{split}\end{equation} \]