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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
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- Ecuaciones diferenciales paso a paso
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- Derivada de:
- Derivada de x|x|
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Derivada de x^-7
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Derivada de f(x)=√x
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Derivada de (cosx)^x
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Expresiones idénticas
- x*exp(-x)log tres (7x^ tres -e)/(3^(2x)-tg^2x)
- x multiplicar por exponente de ( menos x) logaritmo de 3(7x al cubo menos e) dividir por (3 en el grado (2x) menos tg al cuadrado x)
- x multiplicar por exponente de ( menos x) logaritmo de tres (7x en el grado tres menos e) dividir por (3 en el grado (2x) menos tg al cuadrado x)
- x*exp(-x)log3(7x3-e)/(3(2x)-tg2x)
- x*exp-xlog37x3-e/32x-tg2x
- x*exp(-x)log3(7x³-e)/(3^(2x)-tg²x)
- x*exp(-x)log3(7x en el grado 3-e)/(3 en el grado (2x)-tg en el grado 2x)
- xexp(-x)log3(7x^3-e)/(3^(2x)-tg^2x)
- xexp(-x)log3(7x3-e)/(3(2x)-tg2x)
- xexp-xlog37x3-e/32x-tg2x
- xexp-xlog37x^3-e/3^2x-tg^2x
- x*exp(-x)log3(7x^3-e) dividir por (3^(2x)-tg^2x)
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Expresiones semejantes
- x*exp(x)log3(7x^3-e)/(3^(2x)-tg^2x)
- x*exp(-x)log3(7x^3-e)/(3^(2x)+tg^2x)
- x*exp(-x)log3(7x^3+e)/(3^(2x)-tg^2x)
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Expresiones con funciones
- tg
- tg(cosx)
Derivada de x*exp(-x)log3(7x^3-e)/(3^(2x)-tg^2x)
Solución
Ha introducido
[src]
/ 3 \
-x log\7*x - E/
x*e *-------------
log(3)
-------------------
2*x 2
3 - tan (x)
$$\frac{x e^{- x} \frac{\log{\left(7 x^{3} - e \right)}}{\log{\left(3 \right)}}}{3^{2 x} - \tan^{2}{\left(x \right)}}$$
((x*exp(-x))*(log(7*x^3 - E)/log(3)))/(3^(2*x) - tan(x)^2)
Primera derivada
[src]
/ -x -x\ / 3 \ 3 -x
\- x*e + e /*log\7*x - E/ 21*x *e
----------------------------- + -----------------
log(3) / 3 \ // 2 \ 2*x \ -x / 3 \
\7*x - E/*log(3) x*\\2 + 2*tan (x)/*tan(x) - 2*3 *log(3)/*e *log\7*x - E/
------------------------------------------------- + ------------------------------------------------------------
2*x 2 2
3 - tan (x) / 2*x 2 \
\3 - tan (x)/ *log(3)
$$\frac{x \left(- 2 \cdot 3^{2 x} \log{\left(3 \right)} + \left(2 \tan^{2}{\left(x \right)} + 2\right) \tan{\left(x \right)}\right) e^{- x} \log{\left(7 x^{3} - e \right)}}{\left(3^{2 x} - \tan^{2}{\left(x \right)}\right)^{2} \log{\left(3 \right)}} + \frac{\frac{21 x^{3} e^{- x}}{\left(7 x^{3} - e\right) \log{\left(3 \right)}} + \frac{\left(- x e^{- x} + e^{- x}\right) \log{\left(7 x^{3} - e \right)}}{\log{\left(3 \right)}}}{3^{2 x} - \tan^{2}{\left(x \right)}}$$
Segunda derivada
[src]
/ / 2\ \
| / 3 \ / 3 \ | 2 / 2*x / 2 \ \ | |
| 2 | 21*x | / 2*x / 2 \ \ | / 3\ 21*x | |/ 2 \ 2*x 2 2 / 2 \ 4*\3 *log(3) - \1 + tan (x)/*tan(x)/ | / 3\|
| 21*x *|-2 + ---------| 4*\3 *log(3) - \1 + tan (x)/*tan(x)/*|- (-1 + x)*log\-E + 7*x / + ---------| 2*x*|\1 + tan (x)/ - 2*3 *log (3) + 2*tan (x)*\1 + tan (x)/ + ---------------------------------------|*log\-E + 7*x /|
| 2 | 3| | 3| | 2*x 2 | |
| / 3\ 42*x *(-1 + x) \ -E + 7*x / \ -E + 7*x / \ 3 - tan (x) / | -x
|(-2 + x)*log\-E + 7*x / - -------------- - ---------------------- - ------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------|*e
| 3 3 2*x 2 2*x 2 |
\ -E + 7*x -E + 7*x 3 - tan (x) 3 - tan (x) /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2*x 2 \
\3 - tan (x)/*log(3)
$$\frac{\left(- \frac{42 x^{2} \left(x - 1\right)}{7 x^{3} - e} - \frac{21 x^{2} \left(\frac{21 x^{3}}{7 x^{3} - e} - 2\right)}{7 x^{3} - e} + \frac{2 x \left(- 2 \cdot 3^{2 x} \log{\left(3 \right)}^{2} + \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + \frac{4 \left(3^{2 x} \log{\left(3 \right)} - \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right)^{2}}{3^{2 x} - \tan^{2}{\left(x \right)}}\right) \log{\left(7 x^{3} - e \right)}}{3^{2 x} - \tan^{2}{\left(x \right)}} + \left(x - 2\right) \log{\left(7 x^{3} - e \right)} - \frac{4 \left(3^{2 x} \log{\left(3 \right)} - \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right) \left(\frac{21 x^{3}}{7 x^{3} - e} - \left(x - 1\right) \log{\left(7 x^{3} - e \right)}\right)}{3^{2 x} - \tan^{2}{\left(x \right)}}\right) e^{- x}}{\left(3^{2 x} - \tan^{2}{\left(x \right)}\right) \log{\left(3 \right)}}$$
Tercera derivada
[src]
/ / / 3 \ \ \
| | 2 | 21*x | | / 3 / 2 \\ |
| | 21*x *|-2 + ---------| | / 2\ / 3 6 \ | 2 / 2*x / 2 \ \ / 2*x / 2 \ \ |/ 2 \ 2*x 2 2 / 2 \|| |
| | | 3| 2 | / 3 \ | 2 / 2*x / 2 \ \ | | 63*x 441*x | | 2*x 3 3 / 2 \ / 2 \ 6*\3 *log(3) - \1 + tan (x)/*tan(x)/ 3*\3 *log(3) - \1 + tan (x)/*tan(x)/*\\1 + tan (x)/ - 2*3 *log (3) + 2*tan (x)*\1 + tan (x)//| / 3\ / 3 \|
| / 2*x / 2 \ \ | / 3\ \ -E + 7*x / 42*x *(-1 + x)| | / 3\ 21*x | |/ 2 \ 2*x 2 2 / 2 \ 4*\3 *log(3) - \1 + tan (x)/*tan(x)/ | 42*x*|1 - --------- + ------------| 8*x*|3 *log (3) - tan (x)*\1 + tan (x)/ - 2*\1 + tan (x)/ *tan(x) + --------------------------------------- + --------------------------------------------------------------------------------------------------|*log\-E + 7*x / | 21*x ||
| 6*\3 *log(3) - \1 + tan (x)/*tan(x)/*|- (-2 + x)*log\-E + 7*x / + ---------------------- + --------------| 6*|- (-1 + x)*log\-E + 7*x / + ---------|*|\1 + tan (x)/ - 2*3 *log (3) + 2*tan (x)*\1 + tan (x)/ + ---------------------------------------| | 3 2| | 2 2*x 2 | 63*x*(-1 + x)*|-2 + ---------||
| | 3 3 | | 3| | 2*x 2 | | -E + 7*x / 3\ | 2 | / 2*x 2 \ 3 - tan (x) | | 3||
| / 3\ \ -E + 7*x -E + 7*x / \ -E + 7*x / \ 3 - tan (x) / \ \-E + 7*x / / 63*x *(-2 + x) \ \3 - tan (x)/ / \ -E + 7*x /| -x
|- (-3 + x)*log\-E + 7*x / + ------------------------------------------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------- + -------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------|*e
| 2*x 2 2*x 2 3 3 2*x 2 3 |
\ 3 - tan (x) 3 - tan (x) -E + 7*x -E + 7*x 3 - tan (x) -E + 7*x /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2*x 2 \
\3 - tan (x)/*log(3)
$$\frac{\left(\frac{63 x^{2} \left(x - 2\right)}{7 x^{3} - e} + \frac{63 x \left(x - 1\right) \left(\frac{21 x^{3}}{7 x^{3} - e} - 2\right)}{7 x^{3} - e} + \frac{42 x \left(\frac{441 x^{6}}{\left(7 x^{3} - e\right)^{2}} - \frac{63 x^{3}}{7 x^{3} - e} + 1\right)}{7 x^{3} - e} - \frac{8 x \left(3^{2 x} \log{\left(3 \right)}^{3} - 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan{\left(x \right)} - \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{3}{\left(x \right)} + \frac{3 \left(3^{2 x} \log{\left(3 \right)} - \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right) \left(- 2 \cdot 3^{2 x} \log{\left(3 \right)}^{2} + \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}\right)}{3^{2 x} - \tan^{2}{\left(x \right)}} + \frac{6 \left(3^{2 x} \log{\left(3 \right)} - \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right)^{3}}{\left(3^{2 x} - \tan^{2}{\left(x \right)}\right)^{2}}\right) \log{\left(7 x^{3} - e \right)}}{3^{2 x} - \tan^{2}{\left(x \right)}} - \left(x - 3\right) \log{\left(7 x^{3} - e \right)} + \frac{6 \left(3^{2 x} \log{\left(3 \right)} - \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right) \left(\frac{42 x^{2} \left(x - 1\right)}{7 x^{3} - e} + \frac{21 x^{2} \left(\frac{21 x^{3}}{7 x^{3} - e} - 2\right)}{7 x^{3} - e} - \left(x - 2\right) \log{\left(7 x^{3} - e \right)}\right)}{3^{2 x} - \tan^{2}{\left(x \right)}} + \frac{6 \left(\frac{21 x^{3}}{7 x^{3} - e} - \left(x - 1\right) \log{\left(7 x^{3} - e \right)}\right) \left(- 2 \cdot 3^{2 x} \log{\left(3 \right)}^{2} + \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + \frac{4 \left(3^{2 x} \log{\left(3 \right)} - \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right)^{2}}{3^{2 x} - \tan^{2}{\left(x \right)}}\right)}{3^{2 x} - \tan^{2}{\left(x \right)}}\right) e^{- x}}{\left(3^{2 x} - \tan^{2}{\left(x \right)}\right) \log{\left(3 \right)}}$$
Gráfico