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/4
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Derivada de x^(2*x)
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Derivada de 6
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Derivada de x^(3*x)
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Expresiones idénticas
- tan(dos x^ dos - uno)/sin(2x^2- uno)
- tangente de (2x al cuadrado menos 1) dividir por seno de (2x al cuadrado menos 1)
- tangente de (dos x en el grado dos menos uno) dividir por seno de (2x al cuadrado menos uno)
- tan(2x2-1)/sin(2x2-1)
- tan2x2-1/sin2x2-1
- tan(2x²-1)/sin(2x²-1)
- tan(2x en el grado 2-1)/sin(2x en el grado 2-1)
- tan2x^2-1/sin2x^2-1
- tan(2x^2-1) dividir por sin(2x^2-1)
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Expresiones semejantes
- tan(2x^2+1)/sin(2x^2-1)
- tan(2x^2-1)/sin(2x^2+1)
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Expresiones con funciones
- Tangente tan
- tan4x
- tan(4*x)/sin(3*x)
- tan(2*x+3)
- tan(x)^2/x^3
- tan(cot(2x))
- Seno sin
- sin(x)^(3)
- sin(2*x+3)
- sin^3*x
- sin^2*x
- sin(3-x)
Derivada de tan(2x^2-1)/sin(2x^2-1)
Solución
Ha introducido
[src]
/ 2 \ tan\2*x - 1/ ------------- / 2 \ sin\2*x - 1/
$$\frac{\tan{\left(2 x^{2} - 1 \right)}}{\sin{\left(2 x^{2} - 1 \right)}}$$
tan(2*x^2 - 1)/sin(2*x^2 - 1)
Primera derivada
[src]
/ 2/ 2 \\ / 2 \ / 2 \
4*x*\1 + tan \2*x - 1// 4*x*cos\2*x - 1/*tan\2*x - 1/
------------------------ - -------------------------------
/ 2 \ 2/ 2 \
sin\2*x - 1/ sin \2*x - 1/
$$\frac{4 x \left(\tan^{2}{\left(2 x^{2} - 1 \right)} + 1\right)}{\sin{\left(2 x^{2} - 1 \right)}} - \frac{4 x \cos{\left(2 x^{2} - 1 \right)} \tan{\left(2 x^{2} - 1 \right)}}{\sin^{2}{\left(2 x^{2} - 1 \right)}}$$
Segunda derivada
[src]
/ / / 2\ 2 2/ 2\\ 2 / 2/ 2\\ / 2\\
| 2/ 2\ | 2 cos\-1 + 2*x / 8*x *cos \-1 + 2*x /| / 2\ 2 / 2/ 2\\ / 2\ 8*x *\1 + tan \-1 + 2*x //*cos\-1 + 2*x /|
4*|1 + tan \-1 + 2*x / + |4*x - -------------- + --------------------|*tan\-1 + 2*x / + 8*x *\1 + tan \-1 + 2*x //*tan\-1 + 2*x / - -----------------------------------------|
| | / 2\ 2/ 2\ | / 2\ |
\ \ sin\-1 + 2*x / sin \-1 + 2*x / / sin\-1 + 2*x / /
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2\
sin\-1 + 2*x /
$$\frac{4 \left(8 x^{2} \left(\tan^{2}{\left(2 x^{2} - 1 \right)} + 1\right) \tan{\left(2 x^{2} - 1 \right)} - \frac{8 x^{2} \left(\tan^{2}{\left(2 x^{2} - 1 \right)} + 1\right) \cos{\left(2 x^{2} - 1 \right)}}{\sin{\left(2 x^{2} - 1 \right)}} + \left(4 x^{2} + \frac{8 x^{2} \cos^{2}{\left(2 x^{2} - 1 \right)}}{\sin^{2}{\left(2 x^{2} - 1 \right)}} - \frac{\cos{\left(2 x^{2} - 1 \right)}}{\sin{\left(2 x^{2} - 1 \right)}}\right) \tan{\left(2 x^{2} - 1 \right)} + \tan^{2}{\left(2 x^{2} - 1 \right)} + 1\right)}{\sin{\left(2 x^{2} - 1 \right)}}$$
Tercera derivada
[src]
/ / 2/ 2\ 2 / 2\ 2 3/ 2\\ / / 2\ 2 2/ 2\\ / 2/ 2\ 2 / 2/ 2\\ / 2\\ / 2\\
| | 6*cos \-1 + 2*x / 20*x *cos\-1 + 2*x / 24*x *cos \-1 + 2*x /| / 2\ / 2/ 2\\ / / 2\ 2 / 2/ 2\\ 2 2/ 2\\ / 2/ 2\\ | 2 cos\-1 + 2*x / 8*x *cos \-1 + 2*x /| 3*\1 + tan \-1 + 2*x / + 8*x *\1 + tan \-1 + 2*x //*tan\-1 + 2*x //*cos\-1 + 2*x /|
16*x*|- |-3 - ----------------- + -------------------- + ---------------------|*tan\-1 + 2*x / + 2*\1 + tan \-1 + 2*x //*\3*tan\-1 + 2*x / + 4*x *\1 + tan \-1 + 2*x // + 8*x *tan \-1 + 2*x // + 3*\1 + tan \-1 + 2*x //*|4*x - -------------- + --------------------| - ----------------------------------------------------------------------------------|
| | 2/ 2\ / 2\ 3/ 2\ | | / 2\ 2/ 2\ | / 2\ |
\ \ sin \-1 + 2*x / sin\-1 + 2*x / sin \-1 + 2*x / / \ sin\-1 + 2*x / sin \-1 + 2*x / / sin\-1 + 2*x / /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2\
sin\-1 + 2*x /
$$\frac{16 x \left(3 \left(\tan^{2}{\left(2 x^{2} - 1 \right)} + 1\right) \left(4 x^{2} + \frac{8 x^{2} \cos^{2}{\left(2 x^{2} - 1 \right)}}{\sin^{2}{\left(2 x^{2} - 1 \right)}} - \frac{\cos{\left(2 x^{2} - 1 \right)}}{\sin{\left(2 x^{2} - 1 \right)}}\right) + 2 \left(\tan^{2}{\left(2 x^{2} - 1 \right)} + 1\right) \left(4 x^{2} \left(\tan^{2}{\left(2 x^{2} - 1 \right)} + 1\right) + 8 x^{2} \tan^{2}{\left(2 x^{2} - 1 \right)} + 3 \tan{\left(2 x^{2} - 1 \right)}\right) - \frac{3 \left(8 x^{2} \left(\tan^{2}{\left(2 x^{2} - 1 \right)} + 1\right) \tan{\left(2 x^{2} - 1 \right)} + \tan^{2}{\left(2 x^{2} - 1 \right)} + 1\right) \cos{\left(2 x^{2} - 1 \right)}}{\sin{\left(2 x^{2} - 1 \right)}} - \left(\frac{20 x^{2} \cos{\left(2 x^{2} - 1 \right)}}{\sin{\left(2 x^{2} - 1 \right)}} + \frac{24 x^{2} \cos^{3}{\left(2 x^{2} - 1 \right)}}{\sin^{3}{\left(2 x^{2} - 1 \right)}} - 3 - \frac{6 \cos^{2}{\left(2 x^{2} - 1 \right)}}{\sin^{2}{\left(2 x^{2} - 1 \right)}}\right) \tan{\left(2 x^{2} - 1 \right)}\right)}{\sin{\left(2 x^{2} - 1 \right)}}$$
Gráfico