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 -5*tan(2*t)-4*cot(4*t)
-
Derivada de (3x+6)^2
-
Derivada de 3^(x*x)
-
Derivada de 2*x-8/x
-
Expresiones idénticas
- y=ln^ cuatro *(x- cinco)*arctg(dos *x+ uno)^ tres
- y es igual a ln en el grado 4 multiplicar por (x menos 5) multiplicar por arctg(2 multiplicar por x más 1) al cubo
- y es igual a ln en el grado cuatro multiplicar por (x menos cinco) multiplicar por arctg(dos multiplicar por x más uno) en el grado tres
- y=ln4*(x-5)*arctg(2*x+1)3
- y=ln4*x-5*arctg2*x+13
- y=ln⁴*(x-5)*arctg(2*x+1)³
- y=ln en el grado 4*(x-5)*arctg(2*x+1) en el grado 3
- y=ln^4(x-5)arctg(2x+1)^3
- y=ln4(x-5)arctg(2x+1)3
- y=ln4x-5arctg2x+13
- y=ln^4x-5arctg2x+1^3
-
Expresiones semejantes
- y=ln^4*(x+5)*arctg(2*x+1)^3
- y=ln^4*(x-5)*arctg(2*x-1)^3
Derivada de y=ln^4*(x-5)*arctg(2*x+1)^3
Solución
Ha introducido
[src]
4 3 log (x - 5)*atan (2*x + 1)
$$\log{\left(x - 5 \right)}^{4} \operatorname{atan}^{3}{\left(2 x + 1 \right)}$$
log(x - 5)^4*atan(2*x + 1)^3
Primera derivada
[src]
3 3 2 4
4*atan (2*x + 1)*log (x - 5) 6*atan (2*x + 1)*log (x - 5)
---------------------------- + ----------------------------
x - 5 2
1 + (2*x + 1)
$$\frac{6 \log{\left(x - 5 \right)}^{4} \operatorname{atan}^{2}{\left(2 x + 1 \right)}}{\left(2 x + 1\right)^{2} + 1} + \frac{4 \log{\left(x - 5 \right)}^{3} \operatorname{atan}^{3}{\left(2 x + 1 \right)}}{x - 5}$$
Segunda derivada
[src]
/ 2 2 \
2 | atan (1 + 2*x)*(-3 + log(-5 + x)) 6*log (-5 + x)*(-1 + (1 + 2*x)*atan(1 + 2*x)) 12*atan(1 + 2*x)*log(-5 + x)|
4*log (-5 + x)*|- --------------------------------- - --------------------------------------------- + ----------------------------|*atan(1 + 2*x)
| 2 2 / 2\ |
| (-5 + x) / 2\ \1 + (1 + 2*x) /*(-5 + x) |
\ \1 + (1 + 2*x) / /
$$4 \left(- \frac{6 \left(\left(2 x + 1\right) \operatorname{atan}{\left(2 x + 1 \right)} - 1\right) \log{\left(x - 5 \right)}^{2}}{\left(\left(2 x + 1\right)^{2} + 1\right)^{2}} + \frac{12 \log{\left(x - 5 \right)} \operatorname{atan}{\left(2 x + 1 \right)}}{\left(x - 5\right) \left(\left(2 x + 1\right)^{2} + 1\right)} - \frac{\left(\log{\left(x - 5 \right)} - 3\right) \operatorname{atan}^{2}{\left(2 x + 1 \right)}}{\left(x - 5\right)^{2}}\right) \log{\left(x - 5 \right)}^{2} \operatorname{atan}{\left(2 x + 1 \right)}$$
Tercera derivada
[src]
/ / 2 2 \ \ | 3 | 1 2 6*(1 + 2*x)*atan(1 + 2*x) 4*(1 + 2*x) *atan (1 + 2*x)| | | 12*log (-5 + x)*|-------------- - atan (1 + 2*x) - ------------------------- + ---------------------------| | | 3 / 2 \ | 2 2 2 | 2 2 | |atan (1 + 2*x)*\6 - 9*log(-5 + x) + 2*log (-5 + x)/ \1 + (1 + 2*x) 1 + (1 + 2*x) 1 + (1 + 2*x) / 72*log (-5 + x)*(-1 + (1 + 2*x)*atan(1 + 2*x))*atan(1 + 2*x) 18*atan (1 + 2*x)*(-3 + log(-5 + x))*log(-5 + x)| 4*|--------------------------------------------------- + ----------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------ - ------------------------------------------------|*log(-5 + x) | 3 2 2 / 2\ 2 | | (-5 + x) / 2\ / 2\ \1 + (1 + 2*x) /*(-5 + x) | \ \1 + (1 + 2*x) / \1 + (1 + 2*x) / *(-5 + x) /
$$4 \left(\frac{12 \left(\frac{4 \left(2 x + 1\right)^{2} \operatorname{atan}^{2}{\left(2 x + 1 \right)}}{\left(2 x + 1\right)^{2} + 1} - \frac{6 \left(2 x + 1\right) \operatorname{atan}{\left(2 x + 1 \right)}}{\left(2 x + 1\right)^{2} + 1} - \operatorname{atan}^{2}{\left(2 x + 1 \right)} + \frac{1}{\left(2 x + 1\right)^{2} + 1}\right) \log{\left(x - 5 \right)}^{3}}{\left(\left(2 x + 1\right)^{2} + 1\right)^{2}} - \frac{72 \left(\left(2 x + 1\right) \operatorname{atan}{\left(2 x + 1 \right)} - 1\right) \log{\left(x - 5 \right)}^{2} \operatorname{atan}{\left(2 x + 1 \right)}}{\left(x - 5\right) \left(\left(2 x + 1\right)^{2} + 1\right)^{2}} - \frac{18 \left(\log{\left(x - 5 \right)} - 3\right) \log{\left(x - 5 \right)} \operatorname{atan}^{2}{\left(2 x + 1 \right)}}{\left(x - 5\right)^{2} \left(\left(2 x + 1\right)^{2} + 1\right)} + \frac{\left(2 \log{\left(x - 5 \right)}^{2} - 9 \log{\left(x - 5 \right)} + 6\right) \operatorname{atan}^{3}{\left(2 x + 1 \right)}}{\left(x - 5\right)^{3}}\right) \log{\left(x - 5 \right)}$$
Gráfico