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 1/(x+3)
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Derivada de 4*y
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Derivada de (-1)/x-3*x
- Derivada de y=ax
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Expresiones idénticas
- x^tgx((tgx/x)-(uno /cos^ dos))(uno /lnx)
- x en el grado tgx((tgx dividir por x) menos (1 dividir por coseno de al cuadrado ))(1 dividir por lnx)
- x en el grado tgx((tgx dividir por x) menos (uno dividir por coseno de en el grado dos))(uno dividir por lnx)
- xtgx((tgx/x)-(1/cos2))(1/lnx)
- xtgxtgx/x-1/cos21/lnx
- x^tgx((tgx/x)-(1/cos²))(1/lnx)
- x en el grado tgx((tgx/x)-(1/cos en el grado 2))(1/lnx)
- x^tgxtgx/x-1/cos^21/lnx
- x^tgx((tgx dividir por x)-(1 dividir por cos^2))(1 dividir por lnx)
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Expresiones semejantes
- x^tgx((tgx/x)+(1/cos^2))(1/lnx)
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Expresiones con funciones
- Coseno cos
- cos(4*x+6)^(2)
- cos(-3x)
- cos(log(x))+x^2*tan(x)
- cos(-6x+7)
- cos(3)+x^2
Derivada de x^tgx((tgx/x)-(1/cos^2))(1/lnx)
Solución
Ha introducido
[src]
tan(x) /tan(x) 1 \
x *|------ - -------|
| x 2 |
\ cos (x)/
--------------------------
log(x)
$$\frac{x^{\tan{\left(x \right)}} \left(- \frac{1}{\cos^{2}{\left(x \right)}} + \frac{\tan{\left(x \right)}}{x}\right)}{\log{\left(x \right)}}$$
(x^tan(x)*(tan(x)/x - 1/cos(x)^2))/log(x)
Primera derivada
[src]
/ 2 \
tan(x) |1 + tan (x) tan(x) 2*sin(x)| tan(x) /tan(x) / 2 \ \ /tan(x) 1 \ tan(x) /tan(x) 1 \
x *|----------- - ------ - --------| + x *|------ + \1 + tan (x)/*log(x)|*|------ - -------| x *|------ - -------|
| x 2 3 | \ x / | x 2 | | x 2 |
\ x cos (x) / \ cos (x)/ \ cos (x)/
------------------------------------------------------------------------------------------------------ - --------------------------
log(x) 2
x*log (x)
$$\frac{x^{\tan{\left(x \right)}} \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right) \left(- \frac{1}{\cos^{2}{\left(x \right)}} + \frac{\tan{\left(x \right)}}{x}\right) + x^{\tan{\left(x \right)}} \left(- \frac{2 \sin{\left(x \right)}}{\cos^{3}{\left(x \right)}} + \frac{\tan^{2}{\left(x \right)} + 1}{x} - \frac{\tan{\left(x \right)}}{x^{2}}\right)}{\log{\left(x \right)}} - \frac{x^{\tan{\left(x \right)}} \left(- \frac{1}{\cos^{2}{\left(x \right)}} + \frac{\tan{\left(x \right)}}{x}\right)}{x \log{\left(x \right)}^{2}}$$
Segunda derivada
[src]
/ / 2 \ \
| |tan(x) 1 + tan (x) / 1 tan(x)\ /tan(x) / 2 \ \ 2*sin(x)| / 2 \ / 1 tan(x)\|
| 2*|------ - ----------- - |- ------- + ------|*|------ + \1 + tan (x)/*log(x)| + --------| |1 + ------|*|------- - ------||
| / 2 / 2 \ \ 2 / 2 \ / 2 \ | 2 x | 2 x | \ x / 3 | / 2 \ \ log(x)/ | 2 x ||
tan(x) | 2 / 1 tan(x)\ |/tan(x) / 2 \ \ tan(x) 2*\1 + tan (x)/ / 2 \ | 6*sin (x) 2*\1 + tan (x)/ /tan(x) / 2 \ \ |tan(x) 1 + tan (x) 2*sin(x)| 2*tan(x) \ x \ cos (x) / cos (x) / 2*\1 + tan (x)/*tan(x) \cos (x) /|
x *|- ------- - |------- - ------|*||------ + \1 + tan (x)/*log(x)| - ------ + --------------- + 2*\1 + tan (x)/*log(x)*tan(x)| - --------- - --------------- - 2*|------ + \1 + tan (x)/*log(x)|*|------ - ----------- + --------| + -------- + ------------------------------------------------------------------------------------------ + ---------------------- - -------------------------------|
| 2 | 2 x | |\ x / 2 x | 4 2 \ x / | 2 x 3 | 3 x*log(x) x 2 |
\ cos (x) \cos (x) / \ x / cos (x) x \ x cos (x) / x x *log(x) /
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
log(x)
$$\frac{x^{\tan{\left(x \right)}} \left(- 2 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right) \left(\frac{2 \sin{\left(x \right)}}{\cos^{3}{\left(x \right)}} - \frac{\tan^{2}{\left(x \right)} + 1}{x} + \frac{\tan{\left(x \right)}}{x^{2}}\right) - \left(\frac{1}{\cos^{2}{\left(x \right)}} - \frac{\tan{\left(x \right)}}{x}\right) \left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{\tan{\left(x \right)}}{x^{2}}\right) - \frac{6 \sin^{2}{\left(x \right)}}{\cos^{4}{\left(x \right)}} - \frac{2}{\cos^{2}{\left(x \right)}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} + \frac{2 \left(- \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right) \left(- \frac{1}{\cos^{2}{\left(x \right)}} + \frac{\tan{\left(x \right)}}{x}\right) + \frac{2 \sin{\left(x \right)}}{\cos^{3}{\left(x \right)}} - \frac{\tan^{2}{\left(x \right)} + 1}{x} + \frac{\tan{\left(x \right)}}{x^{2}}\right)}{x \log{\left(x \right)}} - \frac{\left(1 + \frac{2}{\log{\left(x \right)}}\right) \left(\frac{1}{\cos^{2}{\left(x \right)}} - \frac{\tan{\left(x \right)}}{x}\right)}{x^{2} \log{\left(x \right)}} - \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2}} + \frac{2 \tan{\left(x \right)}}{x^{3}}\right)}{\log{\left(x \right)}}$$
Gráfico