Sr Examen
Otras calculadoras
- 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 x(t)=4+10t+e^7-t
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Derivada de x(t)=2t^3-8
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Derivada de x^ 2-1
- Derivada de ((x+t^2)*exp(x/2))/2+exp(x/2)
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Expresiones idénticas
- x*exp(-x)tg(dos +x^ dos)/ln(x+ln(x))
- x multiplicar por exponente de ( menos x)tg(2 más x al cuadrado ) dividir por ln(x más ln(x))
- x multiplicar por exponente de ( menos x)tg(dos más x en el grado dos) dividir por ln(x más ln(x))
- x*exp(-x)tg(2+x2)/ln(x+ln(x))
- x*exp-xtg2+x2/lnx+lnx
- x*exp(-x)tg(2+x²)/ln(x+ln(x))
- x*exp(-x)tg(2+x en el grado 2)/ln(x+ln(x))
- xexp(-x)tg(2+x^2)/ln(x+ln(x))
- xexp(-x)tg(2+x2)/ln(x+ln(x))
- xexp-xtg2+x2/lnx+lnx
- xexp-xtg2+x^2/lnx+lnx
- x*exp(-x)tg(2+x^2) dividir por ln(x+ln(x))
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Expresiones semejantes
- x*exp(x)tg(2+x^2)/ln(x+ln(x))
- x*exp(-x)tg(2+x^2)/ln(x-ln(x))
- x*exp(-x)tg(2-x^2)/ln(x+ln(x))
Derivada de x*exp(-x)tg(2+x^2)/ln(x+ln(x))
Solución
Ha introducido
[src]
-x / 2\ x*e *tan\2 + x / ----------------- log(x + log(x))
$$\frac{x e^{- x} \tan{\left(x^{2} + 2 \right)}}{\log{\left(x + \log{\left(x \right)} \right)}}$$
((x*exp(-x))*tan(2 + x^2))/log(x + log(x))
Primera derivada
[src]
/ 1\ -x / 2\
/ -x -x\ / 2\ 2 / 2/ 2\\ -x x*|1 + -|*e *tan\2 + x /
\- x*e + e /*tan\2 + x / + 2*x *\1 + tan \2 + x //*e \ x/
--------------------------------------------------------- - -----------------------------
log(x + log(x)) 2
(x + log(x))*log (x + log(x))
$$- \frac{x \left(1 + \frac{1}{x}\right) e^{- x} \tan{\left(x^{2} + 2 \right)}}{\left(x + \log{\left(x \right)}\right) \log{\left(x + \log{\left(x \right)} \right)}^{2}} + \frac{2 x^{2} \left(\tan^{2}{\left(x^{2} + 2 \right)} + 1\right) e^{- x} + \left(- x e^{- x} + e^{- x}\right) \tan{\left(x^{2} + 2 \right)}}{\log{\left(x + \log{\left(x \right)} \right)}}$$
Segunda derivada
[src]
/ / 2 2 \ \
| | / 1\ / 1\ | |
| | |1 + -| 2*|1 + -| | |
| |1 \ x/ \ x/ | / 2\|
| / 1\ / / 2\ 2 / 2/ 2\\\ x*|-- + ---------- + ----------------------------|*tan\2 + x /|
| 2*|1 + -|*\- (-1 + x)*tan\2 + x / + 2*x *\1 + tan \2 + x /// | 2 x + log(x) (x + log(x))*log(x + log(x))| |
| / 2\ / 2/ 2\ 2 / 2/ 2\\ / 2\\ / 2/ 2\\ \ x/ \x / | -x
|(-2 + x)*tan\2 + x / + 2*x*\1 + tan \2 + x / + 4*x *\1 + tan \2 + x //*tan\2 + x // - 4*x*\1 + tan \2 + x //*(-1 + x) - ------------------------------------------------------------ + --------------------------------------------------------------|*e
\ (x + log(x))*log(x + log(x)) (x + log(x))*log(x + log(x)) /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
log(x + log(x))
$$\frac{\left(- 4 x \left(x - 1\right) \left(\tan^{2}{\left(x^{2} + 2 \right)} + 1\right) + 2 x \left(4 x^{2} \left(\tan^{2}{\left(x^{2} + 2 \right)} + 1\right) \tan{\left(x^{2} + 2 \right)} + \tan^{2}{\left(x^{2} + 2 \right)} + 1\right) + \frac{x \left(\frac{\left(1 + \frac{1}{x}\right)^{2}}{x + \log{\left(x \right)}} + \frac{2 \left(1 + \frac{1}{x}\right)^{2}}{\left(x + \log{\left(x \right)}\right) \log{\left(x + \log{\left(x \right)} \right)}} + \frac{1}{x^{2}}\right) \tan{\left(x^{2} + 2 \right)}}{\left(x + \log{\left(x \right)}\right) \log{\left(x + \log{\left(x \right)} \right)}} - \frac{2 \left(1 + \frac{1}{x}\right) \left(2 x^{2} \left(\tan^{2}{\left(x^{2} + 2 \right)} + 1\right) - \left(x - 1\right) \tan{\left(x^{2} + 2 \right)}\right)}{\left(x + \log{\left(x \right)}\right) \log{\left(x + \log{\left(x \right)} \right)}} + \left(x - 2\right) \tan{\left(x^{2} + 2 \right)}\right) e^{- x}}{\log{\left(x + \log{\left(x \right)} \right)}}$$
Tercera derivada
[src]
/ / 2 2 \ / 3 3 3 \ \
| | / 1\ / 1\ | | / 1\ / 1\ / 1\ / 1\ / 1\ | |
| | |1 + -| 2*|1 + -| | | 2*|1 + -| 3*|1 + -| 6*|1 + -| 6*|1 + -| 6*|1 + -| | |
| / / 2\ 2 / 2/ 2\\\ |1 \ x/ \ x/ | |2 \ x/ \ x/ \ x/ \ x/ \ x/ | / 2\|
| / 1\ / / 2\ / 2/ 2\ 2 / 2/ 2\\ / 2\\ / 2/ 2\\ \ 3*\- (-1 + x)*tan\2 + x / + 2*x *\1 + tan \2 + x ///*|-- + ---------- + ----------------------------| x*|-- + ------------- + --------------- + ----------------------------- + ------------------------------ + -------------------------------|*tan\2 + x /|
| 3*|1 + -|*\(-2 + x)*tan\2 + x / + 2*x*\1 + tan \2 + x / + 4*x *\1 + tan \2 + x //*tan\2 + x // - 4*x*\1 + tan \2 + x //*(-1 + x)/ | 2 x + log(x) (x + log(x))*log(x + log(x))| | 3 2 2 2 2 2 2 | |
| / 2\ / 2/ 2\ 2 / 2/ 2\\ / 2\\ / 2/ 2\\ 2 / 2/ 2\\ / / 2\ 2 / 2/ 2\\ 2 2/ 2\\ \ x/ \x / \x (x + log(x)) x *(x + log(x)) (x + log(x)) *log(x + log(x)) (x + log(x)) *log (x + log(x)) x *(x + log(x))*log(x + log(x))/ | -x
|- (-3 + x)*tan\2 + x / - 6*(-1 + x)*\1 + tan \2 + x / + 4*x *\1 + tan \2 + x //*tan\2 + x // + 6*x*\1 + tan \2 + x //*(-2 + x) + 8*x *\1 + tan \2 + x //*\3*tan\2 + x / + 2*x *\1 + tan \2 + x // + 4*x *tan \2 + x // - --------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------|*e
\ (x + log(x))*log(x + log(x)) (x + log(x))*log(x + log(x)) (x + log(x))*log(x + log(x)) /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
log(x + log(x))
$$\frac{\left(8 x^{2} \left(\tan^{2}{\left(x^{2} + 2 \right)} + 1\right) \left(2 x^{2} \left(\tan^{2}{\left(x^{2} + 2 \right)} + 1\right) + 4 x^{2} \tan^{2}{\left(x^{2} + 2 \right)} + 3 \tan{\left(x^{2} + 2 \right)}\right) + 6 x \left(x - 2\right) \left(\tan^{2}{\left(x^{2} + 2 \right)} + 1\right) - \frac{x \left(\frac{2 \left(1 + \frac{1}{x}\right)^{3}}{\left(x + \log{\left(x \right)}\right)^{2}} + \frac{6 \left(1 + \frac{1}{x}\right)^{3}}{\left(x + \log{\left(x \right)}\right)^{2} \log{\left(x + \log{\left(x \right)} \right)}} + \frac{6 \left(1 + \frac{1}{x}\right)^{3}}{\left(x + \log{\left(x \right)}\right)^{2} \log{\left(x + \log{\left(x \right)} \right)}^{2}} + \frac{3 \left(1 + \frac{1}{x}\right)}{x^{2} \left(x + \log{\left(x \right)}\right)} + \frac{6 \left(1 + \frac{1}{x}\right)}{x^{2} \left(x + \log{\left(x \right)}\right) \log{\left(x + \log{\left(x \right)} \right)}} + \frac{2}{x^{3}}\right) \tan{\left(x^{2} + 2 \right)}}{\left(x + \log{\left(x \right)}\right) \log{\left(x + \log{\left(x \right)} \right)}} - \frac{3 \left(1 + \frac{1}{x}\right) \left(- 4 x \left(x - 1\right) \left(\tan^{2}{\left(x^{2} + 2 \right)} + 1\right) + 2 x \left(4 x^{2} \left(\tan^{2}{\left(x^{2} + 2 \right)} + 1\right) \tan{\left(x^{2} + 2 \right)} + \tan^{2}{\left(x^{2} + 2 \right)} + 1\right) + \left(x - 2\right) \tan{\left(x^{2} + 2 \right)}\right)}{\left(x + \log{\left(x \right)}\right) \log{\left(x + \log{\left(x \right)} \right)}} - \left(x - 3\right) \tan{\left(x^{2} + 2 \right)} - 6 \left(x - 1\right) \left(4 x^{2} \left(\tan^{2}{\left(x^{2} + 2 \right)} + 1\right) \tan{\left(x^{2} + 2 \right)} + \tan^{2}{\left(x^{2} + 2 \right)} + 1\right) + \frac{3 \left(2 x^{2} \left(\tan^{2}{\left(x^{2} + 2 \right)} + 1\right) - \left(x - 1\right) \tan{\left(x^{2} + 2 \right)}\right) \left(\frac{\left(1 + \frac{1}{x}\right)^{2}}{x + \log{\left(x \right)}} + \frac{2 \left(1 + \frac{1}{x}\right)^{2}}{\left(x + \log{\left(x \right)}\right) \log{\left(x + \log{\left(x \right)} \right)}} + \frac{1}{x^{2}}\right)}{\left(x + \log{\left(x \right)}\right) \log{\left(x + \log{\left(x \right)} \right)}}\right) e^{- x}}{\log{\left(x + \log{\left(x \right)} \right)}}$$
Gráfico