Derivative
(the database of solved problems)
All the problems and solutions shown below were generated using the Derivative Calculator.
| ID |
Problem |
Count |
| 401 | $ \dfrac{{{\pi}}^{x}}{4x+1} $ | 3 |
| 402 | $ 2{\cdot}{\left(\sin\left(\dfrac{x}{2}\right)\right)}^{2} $ | 3 |
| 403 | $ \dfrac{x}{80} $ | 3 |
| 404 | $ \, x \, $ | 3 |
| 405 | $ \dfrac{{x}^{2}+14}{\sqrt{4x+1}} $ | 3 |
| 406 | $ \dfrac{10}{3{\cdot}\ln\left({x}^{3}+11\right)} $ | 3 |
| 407 | $ \, x \, $ | 3 |
| 408 | $ \, x \, $ | 3 |
| 409 | $ \, x \, $ | 3 |
| 410 | $ \cot\left(x\right) $ | 3 |
| 411 | $ \, x \, $ | 3 |
| 412 | $ \, x \, $ | 3 |
| 413 | $ \dfrac{1}{\sqrt{2x+10}} $ | 3 |
| 414 | $ \, x \, $ | 3 |
| 415 | $ \dfrac{{\mathrm{e}}^{x}{\cdot}\sin\left(x\right)-{\mathrm{e}}^{x}{\cdot}\cos\left(x\right)}{2}+c $ | 3 |
| 416 | $ \, x \, $ | 3 |
| 417 | $ \sqrt{3{\cdot}\sin\left(x\right)} $ | 3 |
| 418 | $ 5{x}^{2}{\cdot}\sin\left(2{\mathrm{e}}^{5{x}^{2}+2x-7}\right) $ | 3 |
| 419 | | 3 |
| 420 | $ \dfrac{{\mathrm{e}}^{3x}{\cdot}x}{3}-\dfrac{{\mathrm{e}}^{3x}}{9} $ | 3 |
| 421 | $ \, x \, $ | 3 |
| 422 | $ fx $ | 3 |
| 423 | $ \dfrac{\sin\left(x\right)}{3-2{\cdot}\cos\left(x\right)} $ | 3 |
| 424 | $ {\mathrm{e}}^{{5}^{{x}^{3}}}{\cdot}\left(15{x}^{4}+2x\right) $ | 3 |
| 425 | $ \cos\left(2{\cdot}\ln\left(3x\right)\right) $ | 3 |
| 426 | $ \sin\left(2x\right) $ | 3 |
| 427 | $ \dfrac{20}{\sin\left(x\right)}+\dfrac{4}{\cos\left(x\right)} $ | 3 |
| 428 | $ \dfrac{-\left(3{t}^{2}-9\right)}{4t} $ | 3 |
| 429 | $ {\left(6x-{x}^{2}\right)}^{10} $ | 3 |
| 430 | $ 450 $ | 3 |
| 431 | $ 3{x}^{3}-2{x}^{-4} $ | 3 |
| 432 | $ {\pi}{\cdot}{x}^{2}+\dfrac{600}{x}{\cdot}\left({\pi}+2\right) $ | 3 |
| 433 | $ \dfrac{4}{\sqrt{x-1}} $ | 3 |
| 434 | $ \dfrac{8x-2{x}^{3}}{{x}^{2}+2} $ | 3 |
| 435 | $ \sin\left(\color{orangered}{\square}\right) $ | 3 |
| 436 | $ 400-{\left(x-20\right)}^{2} $ | 3 |
| 437 | $ 6+\dfrac{1}{\sqrt{x}} $ | 3 |
| 438 | $ \dfrac{4{\cdot}\ln\left(2x+7\right)}{3{\cdot}\cos\left(2x+6\right)+x} $ | 3 |
| 439 | $ 25t $ | 3 |
| 440 | $ 2{\mathrm{e}}^{6t-2} $ | 3 |
| 441 | $ \tan\left(x\right) $ | 3 |
| 442 | $ \dfrac{1}{x}{\cdot}\sin\left(x\right) $ | 3 |
| 443 | $ 10x-\left(2+{\pi}\right){\cdot}{x}^{2}+\dfrac{{\pi}}{2}{\cdot}{x}^{2} $ | 3 |
| 444 | $ \dfrac{{x}^{3}}{\sin\left(x\right)} $ | 3 |
| 445 | $ 4{\cdot}{\left(x-3\right)}^{3} $ | 3 |
| 446 | $ \dfrac{1}{x-3} $ | 3 |
| 447 | $ \dfrac{3x-1}{{x}^{2}+1} $ | 3 |
| 448 | $ \, x \, $ | 3 |
| 449 | $ {\left(1+{\mathrm{e}}^{3x}\right)}^{0.5} $ | 3 |
| 450 | $ {\left(4-{x}^{2}\right)}^{3} $ | 3 |
