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 e^x*sin(x)
- Derivada de x!
-
Derivada de e^x*x^3
-
Derivada de e^x/x^2
-
Expresiones idénticas
- atan(log(x))+log(atan(x))
- arco tangente de gente de ( logaritmo de (x)) más logaritmo de ( arco tangente de gente de (x))
- atanlogx+logatanx
-
Expresiones semejantes
- atan(log(x))-log(atan(x))
- arctan(log(x))+log(arctan(x))
- atan(log(x))+log(arctanx)
-
Expresiones con funciones
- Arcotangente arctan
- atan(2*x)
- atan(sin(x))
- atan((x+1)/(x-1))
- atan(log(1/x))
- atan(1/(x-1))
- Logaritmo log
- loga
- log(1/(x*x-2)^(1/2))
- log(1+1/(x^2))
- log(3*x+2)
- log((x^2)/(1-x^2))
- Logaritmo log
- loga
- log(1/(x*x-2)^(1/2))
- log(1+1/(x^2))
- log(3*x+2)
- log((x^2)/(1-x^2))
- Arcotangente arctan
- atan(2*x)
- atan(sin(x))
- atan((x+1)/(x-1))
- atan(log(1/x))
- atan(1/(x-1))
Derivada de atan(log(x))+log(atan(x))
Solución
Ha introducido
[src]
atan(log(x)) + log(atan(x))
$$\log{\left(\operatorname{atan}{\left(x \right)} \right)} + \operatorname{atan}{\left(\log{\left(x \right)} \right)}$$
atan(log(x)) + log(atan(x))
Primera derivada
[src]
1 1 --------------- + ---------------- / 2 \ / 2\ x*\1 + log (x)/ \1 + x /*atan(x)
$$\frac{1}{\left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}} + \frac{1}{x \left(\log{\left(x \right)}^{2} + 1\right)}$$
Segunda derivada
[src]
/ 1 1 2*x 2*log(x) \ -|---------------- + ------------------ + ----------------- + -----------------| | 2 / 2 \ 2 2 2| |x *\1 + log (x)/ / 2\ 2 / 2\ 2 / 2 \ | \ \1 + x / *atan (x) \1 + x / *atan(x) x *\1 + log (x)/ /
$$- (\frac{2 x}{\left(x^{2} + 1\right)^{2} \operatorname{atan}{\left(x \right)}} + \frac{1}{\left(x^{2} + 1\right)^{2} \operatorname{atan}^{2}{\left(x \right)}} + \frac{1}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)} + \frac{2 \log{\left(x \right)}}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)^{2}})$$
Tercera derivada
[src]
/ 2 2 \ | 1 1 1 1 3*x 3*log(x) 4*log (x) 4*x | 2*|---------------- + ------------------ - ----------------- - ----------------- + ------------------ + ----------------- + ----------------- + -----------------| | 3 / 2 \ 3 2 2 3 2 3 3 | |x *\1 + log (x)/ / 2\ 3 3 / 2 \ / 2\ / 2\ 2 3 / 2 \ 3 / 2 \ / 2\ | \ \1 + x / *atan (x) x *\1 + log (x)/ \1 + x / *atan(x) \1 + x / *atan (x) x *\1 + log (x)/ x *\1 + log (x)/ \1 + x / *atan(x)/
$$2 \left(\frac{4 x^{2}}{\left(x^{2} + 1\right)^{3} \operatorname{atan}{\left(x \right)}} + \frac{3 x}{\left(x^{2} + 1\right)^{3} \operatorname{atan}^{2}{\left(x \right)}} - \frac{1}{\left(x^{2} + 1\right)^{2} \operatorname{atan}{\left(x \right)}} + \frac{1}{\left(x^{2} + 1\right)^{3} \operatorname{atan}^{3}{\left(x \right)}} + \frac{1}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)} + \frac{3 \log{\left(x \right)}}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)^{2}} - \frac{1}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)^{2}} + \frac{4 \log{\left(x \right)}^{2}}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)^{3}}\right)$$
Gráfico