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 (3x^4-x)^7
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Derivada de (3x+6)^2
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Derivada de (1+cos(x))/(1-cos(x))
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Derivada de (2*x-9)/(x-5)
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Expresiones idénticas
- ∛(〖x(x- uno)〗^ dos)x*exp(-x)
- ∛(〖x(x menos 1)〗 al cuadrado )x multiplicar por exponente de ( menos x)
- ∛(〖x(x menos uno)〗 en el grado dos)x multiplicar por exponente de ( menos x)
- ∛(〖x(x-1)〗2)x*exp(-x)
- ∛〖xx-1〗2x*exp-x
- ∛(〖x(x-1)〗²)x*exp(-x)
- ∛(〖x(x-1)〗 en el grado 2)x*exp(-x)
- ∛(〖x(x-1)〗^2)xexp(-x)
- ∛(〖x(x-1)〗2)xexp(-x)
- ∛〖xx-1〗2xexp-x
- ∛〖xx-1〗^2xexp-x
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Expresiones semejantes
- ∛(〖x(x+1)〗^2)x*exp(-x)
- ∛(〖x(x-1)〗^2)x*exp(x)
Derivada de ∛(〖x(x-1)〗^2)x*exp(-x)
Solución
Ha introducido
[src]
______________ 3 / 2 -x \/ (x*(x - 1)) *x*e
$$x \sqrt[3]{\left(x \left(x - 1\right)\right)^{2}} e^{- x}$$
(((x*(x - 1))^2)^(1/3)*x)*exp(-x)
Primera derivada
[src]
/ ______________ 2/3 \ |3 / 2 |x*(x - 1)| *(-2 + 4*x)| -x 2/3 -x |\/ (x*(x - 1)) + -------------------------|*e - x*|x*(x - 1)| *e \ 3*(x - 1) /
$$- x e^{- x} \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}} + \left(\sqrt[3]{\left(x \left(x - 1\right)\right)^{2}} + \frac{\left(4 x - 2\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{3 \left(x - 1\right)}\right) e^{- x}$$
Segunda derivada
[src]
/ / 2/3 2 2/3 \ \ | | 2/3 3*|x*(-1 + x)| *(-1 + 2*x) 2*(-1 + 2*x) *sign(x*(-1 + x)) 3*|x*(-1 + x)| *(-1 + 2*x)| | | 2*|6*|x*(-1 + x)| - ---------------------------- + ------------------------------ + ----------------------------| | | | -1 + x 3 ______________ x | 2/3 | | 2/3 2/3 2/3 \ \/ |x*(-1 + x)| / 4*|x*(-1 + x)| *(-1 + 2*x)| -x |x*|x*(-1 + x)| - 2*|x| *|-1 + x| + -------------------------------------------------------------------------------------------------------------------- - ----------------------------|*e \ 9*(-1 + x) 3*(-1 + x) /
$$\left(x \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}} - 2 \left|{x}\right|^{\frac{2}{3}} \left|{x - 1}\right|^{\frac{2}{3}} - \frac{4 \left(2 x - 1\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{3 \left(x - 1\right)} + \frac{2 \left(\frac{2 \left(2 x - 1\right)^{2} \operatorname{sign}{\left(x \left(x - 1\right) \right)}}{\sqrt[3]{\left|{x \left(x - 1\right)}\right|}} + 6 \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}} - \frac{3 \left(2 x - 1\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{x - 1} + \frac{3 \left(2 x - 1\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{x}\right)}{9 \left(x - 1\right)}\right) e^{- x}$$
Tercera derivada
[src]
/ / / 2/3 2/3 2 \ \ \ | | | 2/3 3*|x*(-1 + x)| *(-1 + 2*x) 3*|x*(-1 + x)| *(-1 + 2*x) 2*(-1 + 2*x) *sign(x*(-1 + x))| | | | | 9*|6*|x*(-1 + x)| - ---------------------------- - ---------------------------- + ------------------------------| | | | / 2/3 2 2/3 \ | 2/3 2/3 | x -1 + x 3 ______________ | 3 2 3 2/3 2/3 2 2 2/3 | | | | 2/3 3*|x*(-1 + x)| *(-1 + 2*x) 2*(-1 + 2*x) *sign(x*(-1 + x)) 3*|x*(-1 + x)| *(-1 + 2*x)| | 36*|x*(-1 + x)| 36*|x*(-1 + x)| \ \/ |x*(-1 + x)| / 2*(-1 + 2*x) *sign (x*(-1 + x)) 12*(-1 + 2*x) *DiracDelta(x*(-1 + x)) 18*|x*(-1 + x)| *(-1 + 2*x) 18*|x*(-1 + x)| *(-1 + 2*x) 36*(-1 + 2*x)*sign(x*(-1 + x)) 12*(-1 + 2*x) *sign(x*(-1 + x)) 12*(-1 + 2*x) *sign(x*(-1 + x)) 18*|x*(-1 + x)| *(-1 + 2*x)| | | 2*|6*|x*(-1 + x)| - ---------------------------- + ------------------------------ + ----------------------------| 2*|- ------------------ - ------------------ + -------------------------------------------------------------------------------------------------------------------- - ------------------------------- + ------------------------------------- + ----------------------------- + ----------------------------- + ------------------------------ - ------------------------------- - ------------------------------- + -----------------------------| | | | -1 + x 3 ______________ x | | x -1 + x x 4/3 3 ______________ 2 2 3 ______________ 3 ______________ 3 ______________ x*(-1 + x) | 2/3 | | 2/3 2/3 2/3 \ \/ |x*(-1 + x)| / \ |x*(-1 + x)| \/ |x*(-1 + x)| x (-1 + x) \/ |x*(-1 + x)| x*\/ |x*(-1 + x)| (-1 + x)*\/ |x*(-1 + x)| / 2*|x*(-1 + x)| *(-1 + 2*x)| -x |- x*|x*(-1 + x)| + 3*|x| *|-1 + x| - -------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------|*e \ 3*(-1 + x) 27*(-1 + x) -1 + x /
$$\left(- x \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}} + 3 \left|{x}\right|^{\frac{2}{3}} \left|{x - 1}\right|^{\frac{2}{3}} + \frac{2 \left(2 x - 1\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{x - 1} - \frac{2 \left(\frac{2 \left(2 x - 1\right)^{2} \operatorname{sign}{\left(x \left(x - 1\right) \right)}}{\sqrt[3]{\left|{x \left(x - 1\right)}\right|}} + 6 \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}} - \frac{3 \left(2 x - 1\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{x - 1} + \frac{3 \left(2 x - 1\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{x}\right)}{3 \left(x - 1\right)} + \frac{2 \left(\frac{12 \left(2 x - 1\right)^{3} \delta\left(x \left(x - 1\right)\right)}{\sqrt[3]{\left|{x \left(x - 1\right)}\right|}} - \frac{2 \left(2 x - 1\right)^{3} \operatorname{sign}^{2}{\left(x \left(x - 1\right) \right)}}{\left|{x \left(x - 1\right)}\right|^{\frac{4}{3}}} + \frac{36 \left(2 x - 1\right) \operatorname{sign}{\left(x \left(x - 1\right) \right)}}{\sqrt[3]{\left|{x \left(x - 1\right)}\right|}} - \frac{12 \left(2 x - 1\right)^{2} \operatorname{sign}{\left(x \left(x - 1\right) \right)}}{\left(x - 1\right) \sqrt[3]{\left|{x \left(x - 1\right)}\right|}} - \frac{36 \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{x - 1} + \frac{18 \left(2 x - 1\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{\left(x - 1\right)^{2}} - \frac{12 \left(2 x - 1\right)^{2} \operatorname{sign}{\left(x \left(x - 1\right) \right)}}{x \sqrt[3]{\left|{x \left(x - 1\right)}\right|}} + \frac{9 \left(\frac{2 \left(2 x - 1\right)^{2} \operatorname{sign}{\left(x \left(x - 1\right) \right)}}{\sqrt[3]{\left|{x \left(x - 1\right)}\right|}} + 6 \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}} - \frac{3 \left(2 x - 1\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{x - 1} - \frac{3 \left(2 x - 1\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{x}\right)}{x} - \frac{36 \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{x} + \frac{18 \left(2 x - 1\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{x \left(x - 1\right)} + \frac{18 \left(2 x - 1\right) \left|{x \left(x - 1\right)}\right|^{\frac{2}{3}}}{x^{2}}\right)}{27 \left(x - 1\right)}\right) e^{- x}$$