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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: 91743119266055045871559633027522935779816513761467889908256880733944954128440366972477064220183486238p;Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(e^{\frac{-(y - {(2x)}^{2})(2x)}{2}})}{({(2d(2x))}^{\frac{1}{2}})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{\frac{1}{2}e^{-yx + 4x^{3}}}{d^{\frac{1}{2}}x^{\frac{1}{2}}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{\frac{1}{2}e^{-yx + 4x^{3}}}{d^{\frac{1}{2}}x^{\frac{1}{2}}}\right)}{dx}\\=&\frac{\frac{1}{2}*\frac{-1}{2}e^{-yx + 4x^{3}}}{d^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{\frac{1}{2}e^{-yx + 4x^{3}}(-y + 4*3x^{2})}{d^{\frac{1}{2}}x^{\frac{1}{2}}}\\=&\frac{-e^{-yx + 4x^{3}}}{4d^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{ye^{-yx + 4x^{3}}}{2d^{\frac{1}{2}}x^{\frac{1}{2}}} + \fra‐
Solution:
9174311926605504587155963302752293577981651376146788990825688073394495412844036697247706422018348623853211×109 = 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
Column vertical calculation:
| 9 | 1 | 7 | 4 | 3 | 1 | 1 | 9 | 2 | 6 | 6 | 0 | 5 | 5 | 0 | 4 | 5 | 8 | 7 | 1 | 5 | 5 | 9 | 6 | 3 | 3 | 0 | 2 | 7 | 5 | 2 | 2 | 9 | 3 | 5 | 7 | 7 | 9 | 8 | 1 | 6 | 5 | 1 | 3 | 7 | 6 | 1 | 4 | 6 | 7 | 8 | 8 | 9 | 9 | 0 | 8 | 2 | 5 | 6 | 8 | 8 | 0 | 7 | 3 | 3 | 9 | 4 | 4 | 9 | 5 | 4 | 1 | 2 | 8 | 4 | 4 | 0 | 3 | 6 | 6 | 9 | 7 | 2 | 4 | 7 | 7 | 0 | 6 | 4 | 2 | 2 | 0 | 1 | 8 | 3 | 4 | 8 | 6 | 2 | 3 | 8 | 5 | 3 | 2 | 1 | 1 | ||||||||
| ✖ | 1 | 0 | 9 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 8 | 2 | 5 | 6 | 8 | 8 | 0 | 7 | 3 | 3 | 9 | 4 | 4 | 9 | 5 | 4 | 1 | 2 | 8 | 4 | 4 | 0 | 3 | 6 | 6 | 9 | 7 | 2 | 4 | 7 | 7 | 0 | 6 | 4 | 2 | 2 | 0 | 1 | 8 | 3 | 4 | 8 | 6 | 2 | 3 | 8 | 5 | 3 | 2 | 1 | 1 | 0 | 0 | 9 | 1 | 7 | 4 | 3 | 1 | 1 | 9 | 2 | 6 | 6 | 0 | 5 | 5 | 0 | 4 | 5 | 8 | 7 | 1 | 5 | 5 | 9 | 6 | 3 | 3 | 0 | 2 | 7 | 5 | 2 | 2 | 9 | 3 | 5 | 7 | 7 | 9 | 8 | 1 | 6 | 5 | 1 | 3 | 7 | 6 | 1 | 4 | 6 | 7 | 8 | 8 | 9 | 9 | |||||||
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| 9 | 1 | 7 | 4 | 3 | 1 | 1 | 9 | 2 | 6 | 6 | 0 | 5 | 5 | 0 | 4 | 5 | 8 | 7 | 1 | 5 | 5 | 9 | 6 | 3 | 3 | 0 | 2 | 7 | 5 | 2 | 2 | 9 | 3 | 5 | 7 | 7 | 9 | 8 | 1 | 6 | 5 | 1 | 3 | 7 | 6 | 1 | 4 | 6 | 7 | 8 | 8 | 9 | 9 | 0 | 8 | 2 | 5 | 6 | 8 | 8 | 0 | 7 | 3 | 3 | 9 | 4 | 4 | 9 | 5 | 4 | 1 | 2 | 8 | 4 | 4 | 0 | 3 | 6 | 6 | 9 | 7 | 2 | 4 | 7 | 7 | 0 | 6 | 4 | 2 | 2 | 0 | 1 | 8 | 3 | 4 | 8 | 6 | 2 | 3 | 8 | 5 | 3 | 2 | 1 | 1 | ||||||||
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | ||||||