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
-
¿Cómo usar?
- Derivada de:
-
Derivada de 6/x
-
Derivada de 2*sqrt(x)
-
Derivada de e^(5*x)
-
Derivada de 4^x
-
Expresiones idénticas
- е^(log10(arctan3x))
- е en el grado ( logaritmo de 10(arc tangente de 3x))
- е(log10(arctan3x))
- еlog10arctan3x
- е^log10arctan3x
Derivada de е^(log10(arctan3x))
Solución
Ha introducido
[src]
log(atan(3*x))
--------------
log(10)
E
$$e^{\frac{\log{\left(\operatorname{atan}{\left(3 x \right)} \right)}}{\log{\left(10 \right)}}}$$
E^(log(atan(3*x))/log(10))
Primera derivada
[src]
1
-------
log(10)
3*(atan(3*x))
----------------------------
/ 2\
\1 + 9*x /*atan(3*x)*log(10)
$$\frac{3 \operatorname{atan}^{\frac{1}{\log{\left(10 \right)}}}{\left(3 x \right)}}{\left(9 x^{2} + 1\right) \log{\left(10 \right)} \operatorname{atan}{\left(3 x \right)}}$$
Segunda derivada
[src]
1
-------
log(10) / 1 1 \
9*(atan(3*x)) *|- --------- - 6*x + -----------------|
\ atan(3*x) atan(3*x)*log(10)/
------------------------------------------------------------
2
/ 2\
\1 + 9*x / *atan(3*x)*log(10)
$$\frac{9 \left(- 6 x - \frac{1}{\operatorname{atan}{\left(3 x \right)}} + \frac{1}{\log{\left(10 \right)} \operatorname{atan}{\left(3 x \right)}}\right) \operatorname{atan}^{\frac{1}{\log{\left(10 \right)}}}{\left(3 x \right)}}{\left(9 x^{2} + 1\right)^{2} \log{\left(10 \right)} \operatorname{atan}{\left(3 x \right)}}$$
Tercera derivada
[src]
1
------- / 2 \
log(10) | 2 72*x 1 3 18*x 18*x |
27*(atan(3*x)) *|-2 + --------------------- + -------- + ------------------------------ - ----------------------------- + -------------------- - ----------------------------|
| / 2\ 2 2 / 2\ 2 2 / 2\ 2 / 2\ / 2\ |
\ \1 + 9*x /*atan (3*x) 1 + 9*x \1 + 9*x /*atan (3*x)*log (10) \1 + 9*x /*atan (3*x)*log(10) \1 + 9*x /*atan(3*x) \1 + 9*x /*atan(3*x)*log(10)/
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2
/ 2\
\1 + 9*x / *atan(3*x)*log(10)
$$\frac{27 \left(\frac{72 x^{2}}{9 x^{2} + 1} - \frac{18 x}{\left(9 x^{2} + 1\right) \log{\left(10 \right)} \operatorname{atan}{\left(3 x \right)}} + \frac{18 x}{\left(9 x^{2} + 1\right) \operatorname{atan}{\left(3 x \right)}} - 2 - \frac{3}{\left(9 x^{2} + 1\right) \log{\left(10 \right)} \operatorname{atan}^{2}{\left(3 x \right)}} + \frac{1}{\left(9 x^{2} + 1\right) \log{\left(10 \right)}^{2} \operatorname{atan}^{2}{\left(3 x \right)}} + \frac{2}{\left(9 x^{2} + 1\right) \operatorname{atan}^{2}{\left(3 x \right)}}\right) \operatorname{atan}^{\frac{1}{\log{\left(10 \right)}}}{\left(3 x \right)}}{\left(9 x^{2} + 1\right)^{2} \log{\left(10 \right)} \operatorname{atan}{\left(3 x \right)}}$$
Gráfico