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 -5*tan(2*t)-4*cot(4*t)
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Derivada de (3x+6)^2
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Derivada de 3^(x*x)
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Derivada de 2*x-8/x
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Expresiones idénticas
- (x*sqrt(uno +sin(x))+ln(uno -x))/(tg(x)-sin(x))
- (x multiplicar por raíz cuadrada de (1 más seno de (x)) más ln(1 menos x)) dividir por (tg(x) menos seno de (x))
- (x multiplicar por raíz cuadrada de (uno más seno de (x)) más ln(uno menos x)) dividir por (tg(x) menos seno de (x))
- (x*√(1+sin(x))+ln(1-x))/(tg(x)-sin(x))
- (xsqrt(1+sin(x))+ln(1-x))/(tg(x)-sin(x))
- xsqrt1+sinx+ln1-x/tgx-sinx
- (x*sqrt(1+sin(x))+ln(1-x)) dividir por (tg(x)-sin(x))
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Expresiones semejantes
- (x*sqrt(1+sin(x))-ln(1-x))/(tg(x)-sin(x))
- (x*sqrt(1-sin(x))+ln(1-x))/(tg(x)-sin(x))
- (x*sqrt(1+sin(x))+ln(1+x))/(tg(x)-sin(x))
- (x*sqrt(1+sin(x))+ln(1-x))/(tg(x)+sin(x))
- (x*sqrt(1+sinx)+ln(1-x))/(tg(x)-sinx)
Derivada de (x*sqrt(1+sin(x))+ln(1-x))/(tg(x)-sin(x))
Solución
Ha introducido
[src]
____________
x*\/ 1 + sin(x) + log(1 - x)
-----------------------------
tan(x) - sin(x)
$$\frac{x \sqrt{\sin{\left(x \right)} + 1} + \log{\left(1 - x \right)}}{- \sin{\left(x \right)} + \tan{\left(x \right)}}$$
(x*sqrt(1 + sin(x)) + log(1 - x))/(tan(x) - sin(x))
Primera derivada
[src]
____________ 1 x*cos(x)
\/ 1 + sin(x) - ----- + ----------------
1 - x ____________ / ____________ \ / 2 \
2*\/ 1 + sin(x) \x*\/ 1 + sin(x) + log(1 - x)/*\-1 - tan (x) + cos(x)/
----------------------------------------- + -------------------------------------------------------
tan(x) - sin(x) 2
(tan(x) - sin(x))
$$\frac{\left(x \sqrt{\sin{\left(x \right)} + 1} + \log{\left(1 - x \right)}\right) \left(\cos{\left(x \right)} - \tan^{2}{\left(x \right)} - 1\right)}{\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right)^{2}} + \frac{\frac{x \cos{\left(x \right)}}{2 \sqrt{\sin{\left(x \right)} + 1}} + \sqrt{\sin{\left(x \right)} + 1} - \frac{1}{1 - x}}{- \sin{\left(x \right)} + \tan{\left(x \right)}}$$
Segunda derivada
[src]
/ 2 \
| / 2 \ | / 2 \ / ____________ 2 x*cos(x) \
/ ____________ \ |2*\1 + tan (x) - cos(x)/ / 2 \ | \1 + tan (x) - cos(x)/*|2*\/ 1 + sin(x) + ------ + --------------|
\x*\/ 1 + sin(x) + log(1 - x)/*|------------------------- + 2*\1 + tan (x)/*tan(x) + sin(x)| | -1 + x ____________| 2
1 cos(x) x*sin(x) \ -tan(x) + sin(x) / \ \/ 1 + sin(x) / x*cos (x)
--------- - -------------- + ---------------- - --------------------------------------------------------------------------------------------- - ------------------------------------------------------------------- + -----------------
2 ____________ ____________ -tan(x) + sin(x) -tan(x) + sin(x) 3/2
(-1 + x) \/ 1 + sin(x) 2*\/ 1 + sin(x) 4*(1 + sin(x))
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
-tan(x) + sin(x)
$$\frac{\frac{x \sin{\left(x \right)}}{2 \sqrt{\sin{\left(x \right)} + 1}} + \frac{x \cos^{2}{\left(x \right)}}{4 \left(\sin{\left(x \right)} + 1\right)^{\frac{3}{2}}} - \frac{\left(x \sqrt{\sin{\left(x \right)} + 1} + \log{\left(1 - x \right)}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \sin{\left(x \right)} + \frac{2 \left(- \cos{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)^{2}}{\sin{\left(x \right)} - \tan{\left(x \right)}}\right)}{\sin{\left(x \right)} - \tan{\left(x \right)}} - \frac{\left(\frac{x \cos{\left(x \right)}}{\sqrt{\sin{\left(x \right)} + 1}} + 2 \sqrt{\sin{\left(x \right)} + 1} + \frac{2}{x - 1}\right) \left(- \cos{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{\sin{\left(x \right)} - \tan{\left(x \right)}} - \frac{\cos{\left(x \right)}}{\sqrt{\sin{\left(x \right)} + 1}} + \frac{1}{\left(x - 1\right)^{2}}}{\sin{\left(x \right)} - \tan{\left(x \right)}}$$
Tercera derivada
[src]
/ 3 \ / 2 \
| 2 / 2 \ / / 2 \ \ / 2 \ | | / 2 \ | / 2 \
/ ____________ \ | / 2 \ 2 / 2 \ 6*\1 + tan (x) - cos(x)/ 6*\2*\1 + tan (x)/*tan(x) + sin(x)/*\1 + tan (x) - cos(x)/ | / ____________ 2 x*cos(x) \ |2*\1 + tan (x) - cos(x)/ / 2 \ | / 2 \ | 4 4*cos(x) x*cos (x) 2*x*sin(x) |
\x*\/ 1 + sin(x) + log(1 - x)/*|2*\1 + tan (x)/ + 4*tan (x)*\1 + tan (x)/ + ------------------------- + ---------------------------------------------------------- + cos(x)| 3*|2*\/ 1 + sin(x) + ------ + --------------|*|------------------------- + 2*\1 + tan (x)/*tan(x) + sin(x)| 3*\1 + tan (x) - cos(x)/*|--------- - -------------- + --------------- + --------------|
2 | 2 -tan(x) + sin(x) | | -1 + x ____________| \ -tan(x) + sin(x) / 3 | 2 ____________ 3/2 ____________|
2 3*sin(x) 3*cos (x) x*cos(x) \ (-tan(x) + sin(x)) / \ \/ 1 + sin(x) / 3*x*cos (x) \(-1 + x) \/ 1 + sin(x) (1 + sin(x)) \/ 1 + sin(x) / 3*x*cos(x)*sin(x)
- --------- + ---------------- + ----------------- + ---------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------ - ----------------- + ---------------------------------------------------------------------------------------- - -----------------
3 ____________ 3/2 ____________ -tan(x) + sin(x) 2*(-tan(x) + sin(x)) 5/2 4*(-tan(x) + sin(x)) 3/2
(-1 + x) 2*\/ 1 + sin(x) 4*(1 + sin(x)) 2*\/ 1 + sin(x) 8*(1 + sin(x)) 4*(1 + sin(x))
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
-tan(x) + sin(x)
$$\frac{\frac{x \cos{\left(x \right)}}{2 \sqrt{\sin{\left(x \right)} + 1}} - \frac{3 x \sin{\left(x \right)} \cos{\left(x \right)}}{4 \left(\sin{\left(x \right)} + 1\right)^{\frac{3}{2}}} - \frac{3 x \cos^{3}{\left(x \right)}}{8 \left(\sin{\left(x \right)} + 1\right)^{\frac{5}{2}}} - \frac{\left(x \sqrt{\sin{\left(x \right)} + 1} + \log{\left(1 - x \right)}\right) \left(\frac{6 \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \sin{\left(x \right)}\right) \left(- \cos{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{\sin{\left(x \right)} - \tan{\left(x \right)}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + \cos{\left(x \right)} + \frac{6 \left(- \cos{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)^{3}}{\left(\sin{\left(x \right)} - \tan{\left(x \right)}\right)^{2}}\right)}{\sin{\left(x \right)} - \tan{\left(x \right)}} - \frac{3 \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \sin{\left(x \right)} + \frac{2 \left(- \cos{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)^{2}}{\sin{\left(x \right)} - \tan{\left(x \right)}}\right) \left(\frac{x \cos{\left(x \right)}}{\sqrt{\sin{\left(x \right)} + 1}} + 2 \sqrt{\sin{\left(x \right)} + 1} + \frac{2}{x - 1}\right)}{2 \left(\sin{\left(x \right)} - \tan{\left(x \right)}\right)} + \frac{3 \left(- \cos{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right) \left(\frac{2 x \sin{\left(x \right)}}{\sqrt{\sin{\left(x \right)} + 1}} + \frac{x \cos^{2}{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right)^{\frac{3}{2}}} - \frac{4 \cos{\left(x \right)}}{\sqrt{\sin{\left(x \right)} + 1}} + \frac{4}{\left(x - 1\right)^{2}}\right)}{4 \left(\sin{\left(x \right)} - \tan{\left(x \right)}\right)} + \frac{3 \sin{\left(x \right)}}{2 \sqrt{\sin{\left(x \right)} + 1}} + \frac{3 \cos^{2}{\left(x \right)}}{4 \left(\sin{\left(x \right)} + 1\right)^{\frac{3}{2}}} - \frac{2}{\left(x - 1\right)^{3}}}{\sin{\left(x \right)} - \tan{\left(x \right)}}$$
Gráfico