Sr Examen
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- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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¿Cómo usar?
- Derivada de:
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Derivada de (π-2x)³
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Derivada de y=e×
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Derivada de y*log(5*y-1)
- Derivada de y=ln((sqrt(x))+(sqrt(x+a)))
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Expresiones idénticas
- x*exln(sqrt((x+ dos mil veinte)^(dos mil veinte)/(x+ dos mil veintidós)^(dos mil veintidós)))^(uno / dos mil veintiuno)p(-x)
- x multiplicar por exln( raíz cuadrada de ((x más 2020) en el grado (2020) dividir por (x más 2022) en el grado (2022))) en el grado (1 dividir por 2021)p( menos x)
- x multiplicar por exln( raíz cuadrada de ((x más dos mil veinte) en el grado (dos mil veinte) dividir por (x más dos mil veintidós) en el grado (dos mil veintidós))) en el grado (uno dividir por dos mil veintiuno)p( menos x)
- x*exln(√((x+2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(-x)
- x*exln(sqrt((x+2020)(2020)/(x+2022)(2022)))(1/2021)p(-x)
- x*exlnsqrtx+20202020/x+202220221/2021p-x
- xexln(sqrt((x+2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(-x)
- xexln(sqrt((x+2020)(2020)/(x+2022)(2022)))(1/2021)p(-x)
- xexlnsqrtx+20202020/x+202220221/2021p-x
- xexlnsqrtx+2020^2020/x+2022^2022^1/2021p-x
- x*exln(sqrt((x+2020)^(2020) dividir por (x+2022)^(2022)))^(1 dividir por 2021)p(-x)
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Expresiones semejantes
- x*exln(sqrt((x-2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(-x)
- x*exln(sqrt((x+2020)^(2020)/(x-2022)^(2022)))^(1/2021)p(-x)
- x*exln(sqrt((x+2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(x)
Derivada de x*exln(sqrt((x+2020)^(2020)/(x+2022)^(2022)))^(1/2021)p(-x)
Solución
Ha introducido
[src]
_____________________________
/ / ________________\
/ | / 2020 |
x / | / (x + 2020) |
x*E * / log| / -------------- | *p*(-x)
2021/ | / 2022 |
\/ \\/ (x + 2022) /
$$- x p e^{x} x \sqrt[2021]{\log{\left(\sqrt{\frac{\left(x + 2020\right)^{2020}}{\left(x + 2022\right)^{2022}}} \right)}}$$
(((x*E^x)*log(sqrt((x + 2020)^2020/(x + 2022)^2022))^(1/2021))*p)*(-x)
Primera derivada
[src]
/ / 2020 2019\ \
| _____________________________ 2022 | 1011*(x + 2020) 1010*(x + 2020) | x| _____________________________
| / / ________________\ x*(x + 2022) *|- ------------------- + -------------------|*e | / / ________________\
| / | / 2020 | | 2023 2022 | | / | / 2020 |
| / | / (x + 2020) | / x x\ \ (x + 2022) (x + 2022) / | / | / (x + 2020) | x
- p*x*| / log| / -------------- | *\E + x*e / + -----------------------------------------------------------------| - p*x* / log| / -------------- | *e
|2021/ | / 2022 | 2020 | 2021/ | / 2022 |
| \/ \\/ (x + 2022) / ---- | \/ \\/ (x + 2022) /
| 2021 |
| / / ________________\\ |
| | | / 2020 || |
| 2020 | | / (x + 2020) || |
| 2021*(x + 2020) *|log| / -------------- || |
| | | / 2022 || |
\ \ \\/ (x + 2022) // /
$$- p x \left(\frac{x \left(x + 2022\right)^{2022} \left(- \frac{1011 \left(x + 2020\right)^{2020}}{\left(x + 2022\right)^{2023}} + \frac{1010 \left(x + 2020\right)^{2019}}{\left(x + 2022\right)^{2022}}\right) e^{x}}{2021 \left(x + 2020\right)^{2020} \log{\left(\sqrt{\frac{\left(x + 2020\right)^{2020}}{\left(x + 2022\right)^{2022}}} \right)}^{\frac{2020}{2021}}} + \left(e^{x} + x e^{x}\right) \sqrt[2021]{\log{\left(\sqrt{\frac{\left(x + 2020\right)^{2020}}{\left(x + 2022\right)^{2022}}} \right)}}\right) - p x e^{x} \sqrt[2021]{\log{\left(\sqrt{\frac{\left(x + 2020\right)^{2020}}{\left(x + 2022\right)^{2022}}} \right)}}$$
Segunda derivada
[src]
/ / / / 2\ \ \ \ | | | | 1361480*(2020 + x) 681751*(2020 + x) | 2 | | | | | | / 1011*(2020 + x)\ 6063*|679730 - ------------------ + ------------------| / 1011*(2020 + x)\ / 1011*(2020 + x)\ | | | | | | 4082420*|-1010 + ---------------| | 2022 + x 2 | 4086462*|-1010 + ---------------| 2020*|-1010 + ---------------| | | | | | | \ 2022 + x / \ (2022 + x) / \ 2022 + x / \ 2022 + x / | | | | | x*|- --------------------------------- - ------------------------------------------------------- + --------------------------------- + -----------------------------------------| | | | | | 2020 + x 2020 + x 2022 + x / 1010 \| | | | | | |(2020 + x) *|2022 + x||| | | | | ________________________________ | (2020 + x)*log|-------------------------|| / 1011*(2020 + x)\ | | | | / / 1010 \ | | 1012 || 4042*(1 + x)*|-1010 + ---------------| | | | | / |(2020 + x) *|2022 + x|| \ \ (2022 + x) // \ 2022 + x / | | | x*|- 4084441* / log|-------------------------| *(2 + x) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------| | | | 2021/ | 1012 | 2020 2020| | | | \/ \ (2022 + x) / ---- ----| | | | 2021 2021| | | | / / 1010 \\ / / 1010 \\ | | | | | |(2020 + x) *|2022 + x||| | |(2020 + x) *|2022 + x||| | | | | (2020 + x)*|log|-------------------------|| (2020 + x)*|log|-------------------------|| | / 1011*(2020 + x)\ | | ____________________________________ | | | 1012 || | | 1012 || | 2*x*|-1010 + ---------------| | | / / 1010 |2022 + x| \ \ \ \ (2022 + x) // \ \ (2022 + x) // / \ 2022 + x / | x p*|- 2* / log|(2020 + x) *--------------| *(1 + x) + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------|*e | 2021/ | 1012| 4084441 2020| | \/ \ (2022 + x) / ----| | 2021| | / / 1010 |2022 + x| \\ | | 2021*(2020 + x)*|log|(2020 + x) *--------------|| | | | | 1012|| | \ \ \ (2022 + x) // /
$$p \left(\frac{x \left(\frac{x \left(\frac{4086462 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2022} + \frac{2020 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{2}}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} - \frac{4082420 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2020} - \frac{6063 \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{x + 2020}\right)}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} + \frac{4042 \left(x + 1\right) \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} - 4084441 \left(x + 2\right) \sqrt[2021]{\log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}}\right)}{4084441} + \frac{2 x \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{2021 \left(x + 2020\right) \log{\left(\frac{\left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \left(x + 2020\right)^{1010} \right)}^{\frac{2020}{2021}}} - 2 \left(x + 1\right) \sqrt[2021]{\log{\left(\frac{\left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \left(x + 2020\right)^{1010} \right)}}\right) e^{x}$$
Tercera derivada
[src]
/ / / / 2 3 \ / 2\ / 2\ / 2\ \ / / 2\ \ \ \ | | | | 1032852765*(2020 + x) 344966006*(2020 + x) 1030810545*(2020 + x)| | 1361480*(2020 + x) 681751*(2020 + x) | | 1361480*(2020 + x) 681751*(2020 + x) | 2 3 / 1011*(2020 + x)\ | 1361480*(2020 + x) 681751*(2020 + x) | 2 | | | 1361480*(2020 + x) 681751*(2020 + x) | 2 | | | | | |24506646*|-342923785 - ---------------------- + --------------------- + ---------------------| 24751712460*|679730 - ------------------ + ------------------| / 1011*(2020 + x)\ / 1011*(2020 + x)\ / 1011*(2020 + x)\ 24776219106*|679730 - ------------------ + ------------------| / 1011*(2020 + x)\ / 1011*(2020 + x)\ 18370890*|-1010 + ---------------|*|679730 - ------------------ + ------------------| / 1011*(2020 + x)\ | | / 1011*(2020 + x)\ 6063*|679730 - ------------------ + ------------------| / 1011*(2020 + x)\ / 1011*(2020 + x)\ | | | | | | | 2 3 2022 + x | | 2022 + x 2 | 8337201813610*|-1010 + ---------------| 8345456468871*|-1010 + ---------------| 16682654198040*|-1010 + ---------------| | 2022 + x 2 | 12369732600*|-1010 + ---------------| 4081410*|-1010 + ---------------| \ 2022 + x / | 2022 + x 2 | 12381979860*|-1010 + ---------------| | | 4082420*|-1010 + ---------------| | 2022 + x 2 | 4086462*|-1010 + ---------------| 2020*|-1010 + ---------------| | | | | | | \ (2022 + x) (2022 + x) / \ (2022 + x) / \ 2022 + x / \ 2022 + x / \ 2022 + x / \ (2022 + x) / \ 2022 + x / \ 2022 + x / \ (2022 + x) / \ 2022 + x / | | \ 2022 + x / \ (2022 + x) / \ 2022 + x / \ 2022 + x / | | | | | 2*x*|---------------------------------------------------------------------------------------------- + -------------------------------------------------------------- + --------------------------------------- + --------------------------------------- - ---------------------------------------- - -------------------------------------------------------------- - ------------------------------------------ + ------------------------------------------- - ------------------------------------------------------------------------------------- + ----------------------------------------------------| 6063*(1 + x)*|- --------------------------------- - ------------------------------------------------------- + --------------------------------- + -----------------------------------------| | | | | | 2 2 2 2 (2020 + x)*(2022 + x) (2020 + x)*(2022 + x) / 1010 \ / 1010 \ / 1010 \ / 1010 \| | 2020 + x 2020 + x 2022 + x / 1010 \| | | | | | (2020 + x) (2020 + x) (2020 + x) (2022 + x) 2 |(2020 + x) *|2022 + x|| 2 2|(2020 + x) *|2022 + x|| 2 |(2020 + x) *|2022 + x|| |(2020 + x) *|2022 + x||| | |(2020 + x) *|2022 + x||| | | | | ________________________________ | (2020 + x) *log|-------------------------| (2020 + x) *log |-------------------------| (2020 + x) *log|-------------------------| (2020 + x)*(2022 + x)*log|-------------------------|| | (2020 + x)*log|-------------------------|| / 1011*(2020 + x)\ | | | | / / 1010 \ | | 1012 | | 1012 | | 1012 | | 1012 || | | 1012 || 12253323*|-1010 + ---------------|*(2 + x) | / / 2\ \ | | | / |(2020 + x) *|2022 + x|| \ \ (2022 + x) / \ (2022 + x) / \ (2022 + x) / \ (2022 + x) // \ \ (2022 + x) // \ 2022 + x / | | | 1361480*(2020 + x) 681751*(2020 + x) | 2 | | | x*|- 8254655261* / log|-------------------------| *(3 + x) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------| | / 1011*(2020 + x)\ 6063*|679730 - ------------------ + ------------------| / 1011*(2020 + x)\ / 1011*(2020 + x)\ | | | | 2021/ | 1012 | 2020 2020 2020| | 4082420*|-1010 + ---------------| | 2022 + x 2 | 4086462*|-1010 + ---------------| 2020*|-1010 + ---------------| | | | | \/ \ (2022 + x) / ---- ---- ----| | \ 2022 + x / \ (2022 + x) / \ 2022 + x / \ 2022 + x / | | | | 2021 2021 2021| 3*x*|- --------------------------------- - ------------------------------------------------------- + --------------------------------- + -----------------------------------------| | | | / / 1010 \\ / / 1010 \\ / / 1010 \\ | | 2020 + x 2020 + x 2022 + x / 1010 \| | | | | |(2020 + x) *|2022 + x||| | |(2020 + x) *|2022 + x||| | |(2020 + x) *|2022 + x||| | | |(2020 + x) *|2022 + x||| | | ________________________________ | (2020 + x)*|log|-------------------------|| (2020 + x)*|log|-------------------------|| (2020 + x)*|log|-------------------------|| | | (2020 + x)*log|-------------------------|| / 1011*(2020 + x)\ | | / / 1010 \ | | | 1012 || | | 1012 || | | 1012 || | | | 1012 || 6*(1 + x)*|-1010 + ---------------| | | / |(2020 + x) *|2022 + x|| \ \ \ (2022 + x) // \ \ (2022 + x) // \ \ (2022 + x) // / \ \ (2022 + x) // \ 2022 + x / | x p*|- 3* / log|-------------------------| *(2 + x) + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------|*e | 2021/ | 1012 | 8254655261 2020 2020| | \/ \ (2022 + x) / ---- ----| | 2021 2021| | / / 1010 \\ / / 1010 \\ | | | |(2020 + x) *|2022 + x||| | |(2020 + x) *|2022 + x||| | | 4084441*(2020 + x)*|log|-------------------------|| 2021*(2020 + x)*|log|-------------------------|| | | | | 1012 || | | 1012 || | \ \ \ (2022 + x) // \ \ (2022 + x) // /
$$p \left(\frac{x \left(\frac{2 x \left(\frac{8345456468871 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{\left(x + 2022\right)^{2}} + \frac{12381979860 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{2}}{\left(x + 2020\right) \left(x + 2022\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} - \frac{16682654198040 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{\left(x + 2020\right) \left(x + 2022\right)} - \frac{24776219106 \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{\left(x + 2020\right) \left(x + 2022\right)} + \frac{4081410 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{3}}{\left(x + 2020\right)^{2} \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{2}} - \frac{12369732600 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{2}}{\left(x + 2020\right)^{2} \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} - \frac{18370890 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right) \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{\left(x + 2020\right)^{2} \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} + \frac{8337201813610 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{\left(x + 2020\right)^{2}} + \frac{24751712460 \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{\left(x + 2020\right)^{2}} + \frac{24506646 \left(\frac{344966006 \left(x + 2020\right)^{3}}{\left(x + 2022\right)^{3}} - \frac{1032852765 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} + \frac{1030810545 \left(x + 2020\right)}{x + 2022} - 342923785\right)}{\left(x + 2020\right)^{2}}\right)}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} + \frac{6063 \left(x + 1\right) \left(\frac{4086462 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2022} + \frac{2020 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{2}}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} - \frac{4082420 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2020} - \frac{6063 \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{x + 2020}\right)}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} + \frac{12253323 \left(x + 2\right) \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} - 8254655261 \left(x + 3\right) \sqrt[2021]{\log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}}\right)}{8254655261} + \frac{3 x \left(\frac{4086462 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2022} + \frac{2020 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)^{2}}{\left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}} - \frac{4082420 \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{x + 2020} - \frac{6063 \left(\frac{681751 \left(x + 2020\right)^{2}}{\left(x + 2022\right)^{2}} - \frac{1361480 \left(x + 2020\right)}{x + 2022} + 679730\right)}{x + 2020}\right)}{4084441 \left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} + \frac{6 \left(x + 1\right) \left(\frac{1011 \left(x + 2020\right)}{x + 2022} - 1010\right)}{2021 \left(x + 2020\right) \log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}^{\frac{2020}{2021}}} - 3 \left(x + 2\right) \sqrt[2021]{\log{\left(\frac{\left(x + 2020\right)^{1010} \left|{x + 2022}\right|}{\left(x + 2022\right)^{1012}} \right)}}\right) e^{x}$$