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 (-4)/x^2
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Derivada de 2/x²
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Derivada de -2*y
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Derivada de (3+2x)/(x-5)
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Expresiones idénticas
- y=(x- tres)(x+ dos)(9x- siete)/(tres *((x+ dos)·(x- tres)^ dos)^ uno / tres)
- y es igual a (x menos 3)(x más 2)(9x menos 7) dividir por (3 multiplicar por ((x más 2)·(x menos 3) al cuadrado ) en el grado 1 dividir por 3)
- y es igual a (x menos tres)(x más dos)(9x menos siete) dividir por (tres multiplicar por ((x más dos)·(x menos tres) en el grado dos) en el grado uno dividir por tres)
- y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x-3)2)1/3)
- y=x-3x+29x-7/3*x+2·x-321/3
- y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x-3)²)^1/3)
- y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x-3) en el grado 2) en el grado 1/3)
- y=(x-3)(x+2)(9x-7)/(3((x+2)·(x-3)^2)^1/3)
- y=(x-3)(x+2)(9x-7)/(3((x+2)·(x-3)2)1/3)
- y=x-3x+29x-7/3x+2·x-321/3
- y=x-3x+29x-7/3x+2·x-3^2^1/3
- y=(x-3)(x+2)(9x-7) dividir por (3*((x+2)·(x-3)^2)^1 dividir por 3)
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Expresiones semejantes
- y=(x-3)(x+2)(9x+7)/(3*((x+2)·(x-3)^2)^1/3)
- y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x+3)^2)^1/3)
- y=(x-3)(x-2)(9x-7)/(3*((x+2)·(x-3)^2)^1/3)
- y=(x+3)(x+2)(9x-7)/(3*((x+2)·(x-3)^2)^1/3)
- y=(x-3)(x+2)(9x-7)/(3*((x-2)·(x-3)^2)^1/3)
Derivada de y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x-3)^2)^1/3)
Solución
Ha introducido
[src]
(x - 3)*(x + 2)*(9*x - 7)
-------------------------
__________________
3 / 2
3*\/ (x + 2)*(x - 3)
$$\frac{\left(x - 3\right) \left(x + 2\right) \left(9 x - 7\right)}{3 \sqrt[3]{\left(x - 3\right)^{2} \left(x + 2\right)}}$$
(((x - 3)*(x + 2))*(9*x - 7))/((3*((x + 2)*(x - 3)^2)^(1/3)))
Primera derivada
[src]
/ 2 \
|(x - 3) (-6 + 2*x)*(x + 2)|
(9*x - 7)*|-------- + ------------------|
1 \ 3 3 /
----------------------*((-1 + 2*x)*(9*x - 7) + 9*(x - 3)*(x + 2)) - -----------------------------------------
3 _______ 2/3 3 _______ 2/3
3*\/ x + 2 *|x - 3| 3*(x - 3)*\/ x + 2 *|x - 3|
$$\frac{1}{3 \sqrt[3]{x + 2} \left|{x - 3}\right|^{\frac{2}{3}}} \left(9 \left(x - 3\right) \left(x + 2\right) + \left(2 x - 1\right) \left(9 x - 7\right)\right) - \frac{\left(9 x - 7\right) \left(\frac{\left(x - 3\right)^{2}}{3} + \frac{\left(x + 2\right) \left(2 x - 6\right)}{3}\right)}{3 \left(x - 3\right) \sqrt[3]{x + 2} \left|{x - 3}\right|^{\frac{2}{3}}}$$
Segunda derivada
[src]
/ / 1 2*sign(-3 + x)\ 6*(-4 + 3*x) 3*(1 + 3*x) 6*(1 + 3*x)\ 6*(1 + 3*x)*((-1 + 2*x)*(-7 + 9*x) + 9*(-3 + x)*(2 + x))
-288 + 486*x + (-7 + 9*x)*|(1 + 3*x)*|----- + --------------| - ------------ + ----------- + -----------| - --------------------------------------------------------
\ \2 + x |-3 + x| / -3 + x 2 + x -3 + x / (-3 + x)*(2 + x)
--------------------------------------------------------------------------------------------------------------------------------------------------------------------
3 _______ 2/3
27*\/ 2 + x *|-3 + x|
$$\frac{486 x + \left(9 x - 7\right) \left(\left(3 x + 1\right) \left(\frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left|{x - 3}\right|} + \frac{1}{x + 2}\right) + \frac{3 \left(3 x + 1\right)}{x + 2} - \frac{6 \left(3 x - 4\right)}{x - 3} + \frac{6 \left(3 x + 1\right)}{x - 3}\right) - 288 - \frac{6 \left(3 x + 1\right) \left(9 \left(x - 3\right) \left(x + 2\right) + \left(2 x - 1\right) \left(9 x - 7\right)\right)}{\left(x - 3\right) \left(x + 2\right)}}{27 \sqrt[3]{x + 2} \left|{x - 3}\right|^{\frac{2}{3}}}$$
Tercera derivada
[src]
/ / 1 2*sign(-3 + x)\ / 1 2*sign(-3 + x)\ / 1 2*sign(-3 + x)\ \
| / 2 \ 6*(-4 + 3*x)*|----- + --------------| 3*(1 + 3*x)*|----- + --------------| 6*(1 + 3*x)*|----- + --------------| |
| 54 72*(-4 + 3*x) | 2 6*DiracDelta(-3 + x) 5*sign (-3 + x) 2*sign(-3 + x) | 21*(1 + 3*x) 54*(1 + 3*x) 42*(-4 + 3*x) \2 + x |-3 + x| / \2 + x |-3 + x| / \2 + x |-3 + x| / 42*(1 + 3*x) 12*(-4 + 3*x)*sign(-3 + x) 6*(1 + 3*x)*sign(-3 + x) 12*(1 + 3*x)*sign(-3 + x)|
(-7 + 9*x)*|------ - ------------- + 2*(1 + 3*x)*|-------- - -------------------- + --------------- + ----------------| + ------------ + ------------ - ---------------- - ------------------------------------- + ------------------------------------ + ------------------------------------ + ---------------- - -------------------------- + ------------------------ + -------------------------| / / 1 2*sign(-3 + x)\ 6*(-4 + 3*x) 3*(1 + 3*x) 6*(1 + 3*x)\
|-3 + x 2 | 2 |-3 + x| 2 (2 + x)*|-3 + x|| 2 2 (-3 + x)*(2 + x) -3 + x 2 + x -3 + x (-3 + x)*(2 + x) (-3 + x)*|-3 + x| (2 + x)*|-3 + x| (-3 + x)*|-3 + x| | ((-1 + 2*x)*(-7 + 9*x) + 9*(-3 + x)*(2 + x))*|(1 + 3*x)*|----- + --------------| - ------------ + ----------- + -----------|
\ (-3 + x) \(2 + x) (-3 + x) / (2 + x) (-3 + x) / 2*(1 + 3*x)*(-16 + 27*x) \ \2 + x |-3 + x| / -3 + x 2 + x -3 + x /
18 - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------ + ----------------------------------------------------------------------------------------------------------------------------
81 3*(-3 + x)*(2 + x) 9*(-3 + x)*(2 + x)
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3 _______ 2/3
\/ 2 + x *|-3 + x|
$$\frac{- \frac{\left(9 x - 7\right) \left(2 \left(3 x + 1\right) \left(- \frac{6 \delta\left(x - 3\right)}{\left|{x - 3}\right|} + \frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left(x + 2\right) \left|{x - 3}\right|} + \frac{2}{\left(x + 2\right)^{2}} + \frac{5 \operatorname{sign}^{2}{\left(x - 3 \right)}}{\left(x - 3\right)^{2}}\right) + \frac{3 \left(3 x + 1\right) \left(\frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left|{x - 3}\right|} + \frac{1}{x + 2}\right)}{x + 2} + \frac{6 \left(3 x + 1\right) \operatorname{sign}{\left(x - 3 \right)}}{\left(x + 2\right) \left|{x - 3}\right|} + \frac{21 \left(3 x + 1\right)}{\left(x + 2\right)^{2}} - \frac{6 \left(3 x - 4\right) \left(\frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left|{x - 3}\right|} + \frac{1}{x + 2}\right)}{x - 3} - \frac{12 \left(3 x - 4\right) \operatorname{sign}{\left(x - 3 \right)}}{\left(x - 3\right) \left|{x - 3}\right|} + \frac{6 \left(3 x + 1\right) \left(\frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left|{x - 3}\right|} + \frac{1}{x + 2}\right)}{x - 3} + \frac{12 \left(3 x + 1\right) \operatorname{sign}{\left(x - 3 \right)}}{\left(x - 3\right) \left|{x - 3}\right|} + \frac{54}{x - 3} - \frac{42 \left(3 x - 4\right)}{\left(x - 3\right) \left(x + 2\right)} + \frac{42 \left(3 x + 1\right)}{\left(x - 3\right) \left(x + 2\right)} - \frac{72 \left(3 x - 4\right)}{\left(x - 3\right)^{2}} + \frac{54 \left(3 x + 1\right)}{\left(x - 3\right)^{2}}\right)}{81} + 18 - \frac{2 \left(3 x + 1\right) \left(27 x - 16\right)}{3 \left(x - 3\right) \left(x + 2\right)} + \frac{\left(9 \left(x - 3\right) \left(x + 2\right) + \left(2 x - 1\right) \left(9 x - 7\right)\right) \left(\left(3 x + 1\right) \left(\frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left|{x - 3}\right|} + \frac{1}{x + 2}\right) + \frac{3 \left(3 x + 1\right)}{x + 2} - \frac{6 \left(3 x - 4\right)}{x - 3} + \frac{6 \left(3 x + 1\right)}{x - 3}\right)}{9 \left(x - 3\right) \left(x + 2\right)}}{\sqrt[3]{x + 2} \left|{x - 3}\right|^{\frac{2}{3}}}$$