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- 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 (π-2x)³
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Derivada de y=e×
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Derivada de y*log(5*y-1)
- Derivada de y=ln((sqrt(x))+(sqrt(x+a)))
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Expresiones idénticas
- y=(((x- dos)^ cuatro)^(uno / tres))/((x- cinco)(x+ uno)^ siete)
- y es igual a (((x menos 2) en el grado 4) en el grado (1 dividir por 3)) dividir por ((x menos 5)(x más 1) en el grado 7)
- y es igual a (((x menos dos) en el grado cuatro) en el grado (uno dividir por tres)) dividir por ((x menos cinco)(x más uno) en el grado siete)
- y=(((x-2)4)(1/3))/((x-5)(x+1)7)
- y=x-241/3/x-5x+17
- y=(((x-2)⁴)^(1/3))/((x-5)(x+1)⁷)
- y=x-2^4^1/3/x-5x+1^7
- y=(((x-2)^4)^(1 dividir por 3)) dividir por ((x-5)(x+1)^7)
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Expresiones semejantes
- y=(((x-2)^4)^(1/3))/((x-5)(x-1)^7)
- y=(((x-2)^4)^(1/3))/((x+5)(x+1)^7)
- y=(((x+2)^4)^(1/3))/((x-5)(x+1)^7)
Derivada de y=(((x-2)^4)^(1/3))/((x-5)(x+1)^7)
Solución
Ha introducido
[src]
__________
3 / 4
\/ (x - 2)
----------------
7
(x - 5)*(x + 1)
$$\frac{\sqrt[3]{\left(x - 2\right)^{4}}}{\left(x - 5\right) \left(x + 1\right)^{7}}$$
((x - 2)^4)^(1/3)/(((x - 5)*(x + 1)^7))
Primera derivada
[src]
4/3 1
4*|x - 2| *----------------
7 4/3 / 7 6 \
(x + 1) *(x - 5) |x - 2| *\- (x + 1) - 7*(x + 1) *(x - 5)/
----------------------------- + --------------------------------------------
3*(x - 2) 14 2
(x + 1) *(x - 5)
$$\frac{4 \frac{1}{\left(x - 5\right) \left(x + 1\right)^{7}} \left|{x - 2}\right|^{\frac{4}{3}}}{3 \left(x - 2\right)} + \frac{\left(- 7 \left(x - 5\right) \left(x + 1\right)^{6} - \left(x + 1\right)^{7}\right) \left|{x - 2}\right|^{\frac{4}{3}}}{\left(x - 5\right)^{2} \left(x + 1\right)^{14}}$$
Segunda derivada
[src]
/ / 3*|-2 + x|\ /-17 + 4*x / 1 7 \ 14*(-7 + 2*x) 7*(-17 + 4*x)\ \
|2*|4*sign(-2 + x) - ----------| |--------- + (-17 + 4*x)*|------ + -----| - ------------- + -------------|*|-2 + x| |
3 __________ | \ -2 + x / \ -5 + x \-5 + x 1 + x/ 1 + x 1 + x / 8*(-17 + 4*x)*|-2 + x| |
2*\/ |-2 + x| *|------------------------------- + ----------------------------------------------------------------------------------- - ---------------------------|
\ 9*(-2 + x) (1 + x)*(-5 + x) 3*(1 + x)*(-5 + x)*(-2 + x)/
--------------------------------------------------------------------------------------------------------------------------------------------------------------------
7
(1 + x) *(-5 + x)
$$\frac{2 \left(\frac{2 \left(4 \operatorname{sign}{\left(x - 2 \right)} - \frac{3 \left|{x - 2}\right|}{x - 2}\right)}{9 \left(x - 2\right)} + \frac{\left(\left(4 x - 17\right) \left(\frac{7}{x + 1} + \frac{1}{x - 5}\right) - \frac{14 \left(2 x - 7\right)}{x + 1} + \frac{7 \left(4 x - 17\right)}{x + 1} + \frac{4 x - 17}{x - 5}\right) \left|{x - 2}\right|}{\left(x - 5\right) \left(x + 1\right)} - \frac{8 \left(4 x - 17\right) \left|{x - 2}\right|}{3 \left(x - 5\right) \left(x - 2\right) \left(x + 1\right)}\right) \sqrt[3]{\left|{x - 2}\right|}}{\left(x - 5\right) \left(x + 1\right)^{7}}$$
Tercera derivada
[src]
/ / / 1 7 \ / 1 7 \ / 1 7 \ \ \
| / 2 4/3 3 __________ \ | (-17 + 4*x)*|------ + -----| 14*(-7 + 2*x)*|------ + -----| 7*(-17 + 4*x)*|------ + -----| | |
| |2*sign (-2 + x) 9*|-2 + x| 3 __________ 12*\/ |-2 + x| *sign(-2 + x)| 4/3 | 294*(-7 + 2*x) / 1 28 7 \ 3*(-17 + 4*x) 42*(-11 + 4*x) 105*(-17 + 4*x) \-5 + x 1 + x/ 42*(-7 + 2*x) \-5 + x 1 + x/ \-5 + x 1 + x/ 28*(-17 + 4*x) | |
|4*|--------------- + ------------- + 12*\/ |-2 + x| *DiracDelta(-2 + x) - ----------------------------| |-2 + x| *|- -------------- + 2*(-17 + 4*x)*|--------- + -------- + ----------------| + ------------- + -------------- + --------------- + ---------------------------- - ---------------- - ------------------------------ + ------------------------------ + ----------------| 4/3 /-17 + 4*x / 1 7 \ 14*(-7 + 2*x) 7*(-17 + 4*x)\ 3 __________ / 3*|-2 + x|\|
| | 2/3 2 -2 + x | | 2 | 2 2 (1 + x)*(-5 + x)| 2 2 2 -5 + x (1 + x)*(-5 + x) 1 + x 1 + x (1 + x)*(-5 + x)| 4*|-2 + x| *|--------- + (-17 + 4*x)*|------ + -----| - ------------- + -------------| 4*\/ |-2 + x| *(-17 + 4*x)*|4*sign(-2 + x) - ----------||
| \ |-2 + x| (-2 + x) / \ (1 + x) \(-5 + x) (1 + x) / (-5 + x) (1 + x) (1 + x) / \ -5 + x \-5 + x 1 + x/ 1 + x 1 + x / \ -2 + x /|
2*|------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------- - --------------------------------------------------------|
\ 27*(-2 + x) (1 + x)*(-5 + x) (1 + x)*(-5 + x)*(-2 + x) 3*(1 + x)*(-5 + x)*(-2 + x) /
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
7
(1 + x) *(-5 + x)
$$\frac{2 \left(\frac{4 \left(12 \sqrt[3]{\left|{x - 2}\right|} \delta\left(x - 2\right) + \frac{2 \operatorname{sign}^{2}{\left(x - 2 \right)}}{\left|{x - 2}\right|^{\frac{2}{3}}} - \frac{12 \sqrt[3]{\left|{x - 2}\right|} \operatorname{sign}{\left(x - 2 \right)}}{x - 2} + \frac{9 \left|{x - 2}\right|^{\frac{4}{3}}}{\left(x - 2\right)^{2}}\right)}{27 \left(x - 2\right)} - \frac{\left(2 \left(4 x - 17\right) \left(\frac{28}{\left(x + 1\right)^{2}} + \frac{7}{\left(x - 5\right) \left(x + 1\right)} + \frac{1}{\left(x - 5\right)^{2}}\right) - \frac{14 \left(2 x - 7\right) \left(\frac{7}{x + 1} + \frac{1}{x - 5}\right)}{x + 1} + \frac{7 \left(4 x - 17\right) \left(\frac{7}{x + 1} + \frac{1}{x - 5}\right)}{x + 1} - \frac{294 \left(2 x - 7\right)}{\left(x + 1\right)^{2}} + \frac{105 \left(4 x - 17\right)}{\left(x + 1\right)^{2}} + \frac{42 \left(4 x - 11\right)}{\left(x + 1\right)^{2}} + \frac{\left(4 x - 17\right) \left(\frac{7}{x + 1} + \frac{1}{x - 5}\right)}{x - 5} - \frac{42 \left(2 x - 7\right)}{\left(x - 5\right) \left(x + 1\right)} + \frac{28 \left(4 x - 17\right)}{\left(x - 5\right) \left(x + 1\right)} + \frac{3 \left(4 x - 17\right)}{\left(x - 5\right)^{2}}\right) \left|{x - 2}\right|^{\frac{4}{3}}}{\left(x - 5\right) \left(x + 1\right)} - \frac{4 \left(4 x - 17\right) \left(4 \operatorname{sign}{\left(x - 2 \right)} - \frac{3 \left|{x - 2}\right|}{x - 2}\right) \sqrt[3]{\left|{x - 2}\right|}}{3 \left(x - 5\right) \left(x - 2\right) \left(x + 1\right)} + \frac{4 \left(\left(4 x - 17\right) \left(\frac{7}{x + 1} + \frac{1}{x - 5}\right) - \frac{14 \left(2 x - 7\right)}{x + 1} + \frac{7 \left(4 x - 17\right)}{x + 1} + \frac{4 x - 17}{x - 5}\right) \left|{x - 2}\right|^{\frac{4}{3}}}{\left(x - 5\right) \left(x - 2\right) \left(x + 1\right)}\right)}{\left(x - 5\right) \left(x + 1\right)^{7}}$$