Derivative
(the database of solved problems)
All the problems and solutions shown below were generated using the Derivative Calculator.
| ID |
Problem |
Count |
| 501 | $ {2}^{{x}^{3}} $ | 3 |
| 502 | $ {\left(4{x}^{2}-3x+5\right)}^{6} $ | 3 |
| 503 | $ \arcsin\left({\mathrm{e}}^{3x}\right)+3 $ | 3 |
| 504 | $ {y}^{5}{\cdot}\ln\left(y\right)-{x}^{6}{\cdot}\ln\left(x\right) $ | 3 |
| 505 | $ \, x \, $ | 3 |
| 506 | $ \arctan\left(\dfrac{\tan\left(ax\right)}{b}\right) $ | 3 |
| 507 | $ 4x-2gx $ | 3 |
| 508 | $ 14{\cdot}\mathrm{csch}\left(\color{orangered}{\square}\right) $ | 3 |
| 509 | $ \dfrac{8{x}^{2}-288}{x-6} $ | 3 |
| 510 | $ \, x \, $ | 3 |
| 511 | $ \left(2x-3\right){\cdot}{\mathrm{e}}^{-0.5x} $ | 3 |
| 512 | $ \sqrt{480}{\cdot}x-40{x}^{2} $ | 3 |
| 513 | $ \sqrt{480x-40{x}^{2}} $ | 3 |
| 514 | $ 71{\mathrm{e}}^{0.5} $ | 3 |
| 515 | $ {\left(x+a\right)}^{2} $ | 3 |
| 516 | $ -4{x}^{2}+5 $ | 3 |
| 517 | $ \dfrac{1}{\sqrt{x}} $ | 3 |
| 518 | $ \left(x+4\right){\cdot}\left({x}^{2}+7\right) $ | 3 |
| 519 | $ \cot\left(x\right){\cdot}1+{x}^{2} $ | 3 |
| 520 | $ {x}^{5} $ | 3 |
| 521 | $ {x}^{\frac{3}{2}} $ | 3 |
| 522 | $ \dfrac{6}{{\left({x}^{2}+4\right)}^{\frac{1}{2}}} $ | 3 |
| 523 | $ \tan\left(\sqrt{\sin\left(2\right)}\right){\cdot}x $ | 3 |
| 524 | $ \dfrac{1}{3}{\cdot}{\pi}{\cdot}{x}^{2}{\cdot}{\left(400+{x}^{2}\right)}^{0.5} $ | 3 |
| 525 | $ \dfrac{2}{3}{\cdot}{x}^{6}-\dfrac{1}{2}{\cdot}{x}^{4} $ | 3 |
| 526 | $ \cosh\left(\color{orangered}{\square}\right) $ | 3 |
| 527 | $ \, x \, $ | 3 |
| 528 | $ \sqrt{x}{\cdot}\sin\left(x\right) $ | 3 |
| 529 | $ \, x \, $ | 3 |
| 530 | $ \, x \, $ | 3 |
| 531 | $ {x}^{2}+21x $ | 3 |
| 532 | $ \dfrac{1}{x}-4 $ | 3 |
| 533 | $ \, x \, $ | 3 |
| 534 | $ \, x \, $ | 3 |
| 535 | $ \dfrac{-60}{1+{\mathrm{e}}^{-\left(x-80\right)}} $ | 3 |
| 536 | $ \, x \, $ | 3 |
| 537 | $ {x}^{2}+16 $ | 3 |
| 538 | $ {x}^{2}+16 $ | 3 |
| 539 | $ {x}^{2}+16 $ | 3 |
| 540 | $ \, x \, $ | 3 |
| 541 | $ t{\cdot}{\mathrm{e}}^{-\left(2t\right)} $ | 3 |
| 542 | $ {t}^{2}{\cdot}{\mathrm{e}}^{4t}{\cdot}\ln\left(7t\right) $ | 3 |
| 543 | $ \, x \, $ | 3 |
| 544 | $ \, x \, $ | 3 |
| 545 | $ 2-\sqrt{t} $ | 3 |
| 546 | $ \dfrac{8}{{x}^{2}}+2x-4 $ | 3 |
| 547 | $ \dfrac{300}{1+10{\mathrm{e}}^{-3t}}-27.275 $ | 3 |
| 548 | $ \ln\left(\dfrac{\left(x+1\right){\cdot}\left(x-3\right)}{-2x-9}\right) $ | 3 |
| 549 | $ \sin\left(4x\right) $ | 3 |
| 550 | $ \dfrac{2x}{{\left(2x-1\right)}^{\frac{3}{2}}} $ | 3 |
