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
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Derivada de y=csc(3x²+1)
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Expresiones idénticas
- y=(arctg2x)^since
- y es igual a (arctg2x) en el grado seno de ce
- y=(arctg2x)since
- y=arctg2xsince
- y=arctg2x^since
Derivada de y=(arctg2x)^since
Solución
Ha introducido
[src]
sinc(E) atan (2*x)
$$\operatorname{atan}^{\operatorname{sinc}{\left(e \right)}}{\left(2 x \right)}$$
atan(2*x)^sinc(E)
Primera derivada
[src]
sinc(E) 2*atan (2*x)*sinc(E) -------------------------- / 2\ \1 + 4*x /*atan(2*x)
$$\frac{2 \operatorname{atan}^{\operatorname{sinc}{\left(e \right)}}{\left(2 x \right)} \operatorname{sinc}{\left(e \right)}}{\left(4 x^{2} + 1\right) \operatorname{atan}{\left(2 x \right)}}$$
Segunda derivada
[src]
sinc(E) / 1 sinc(E) \
4*atan (2*x)*|- --------- - 4*x + ---------|*sinc(E)
\ atan(2*x) atan(2*x)/
----------------------------------------------------------
2
/ 2\
\1 + 4*x / *atan(2*x)
$$\frac{4 \left(- 4 x - \frac{1}{\operatorname{atan}{\left(2 x \right)}} + \frac{\operatorname{sinc}{\left(e \right)}}{\operatorname{atan}{\left(2 x \right)}}\right) \operatorname{atan}^{\operatorname{sinc}{\left(e \right)}}{\left(2 x \right)} \operatorname{sinc}{\left(e \right)}}{\left(4 x^{2} + 1\right)^{2} \operatorname{atan}{\left(2 x \right)}}$$
Tercera derivada
[src]
/ 2 2 \
sinc(E) | 2 32*x sinc (E) 3*sinc(E) 12*x 12*x*sinc(E) |
8*atan (2*x)*|-2 + --------------------- + -------- + --------------------- - --------------------- + -------------------- - --------------------|*sinc(E)
| / 2\ 2 2 / 2\ 2 / 2\ 2 / 2\ / 2\ |
\ \1 + 4*x /*atan (2*x) 1 + 4*x \1 + 4*x /*atan (2*x) \1 + 4*x /*atan (2*x) \1 + 4*x /*atan(2*x) \1 + 4*x /*atan(2*x)/
----------------------------------------------------------------------------------------------------------------------------------------------------------------
2
/ 2\
\1 + 4*x / *atan(2*x)
$$\frac{8 \left(\frac{32 x^{2}}{4 x^{2} + 1} - \frac{12 x \operatorname{sinc}{\left(e \right)}}{\left(4 x^{2} + 1\right) \operatorname{atan}{\left(2 x \right)}} + \frac{12 x}{\left(4 x^{2} + 1\right) \operatorname{atan}{\left(2 x \right)}} - 2 - \frac{3 \operatorname{sinc}{\left(e \right)}}{\left(4 x^{2} + 1\right) \operatorname{atan}^{2}{\left(2 x \right)}} + \frac{\operatorname{sinc}^{2}{\left(e \right)}}{\left(4 x^{2} + 1\right) \operatorname{atan}^{2}{\left(2 x \right)}} + \frac{2}{\left(4 x^{2} + 1\right) \operatorname{atan}^{2}{\left(2 x \right)}}\right) \operatorname{atan}^{\operatorname{sinc}{\left(e \right)}}{\left(2 x \right)} \operatorname{sinc}{\left(e \right)}}{\left(4 x^{2} + 1\right)^{2} \operatorname{atan}{\left(2 x \right)}}$$