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 x^3+(50-x)^3
- Derivada de x^2/a^2
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Derivada de x^(-2/7)
- Derivada de √x(2x-4)
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Expresiones idénticas
- x*ln(absolute(x+sqrt(x^ dos + tres)))-sqrt(x^ dos + tres)
- x multiplicar por ln(absolute(x más raíz cuadrada de (x al cuadrado más 3))) menos raíz cuadrada de (x al cuadrado más 3)
- x multiplicar por ln(absolute(x más raíz cuadrada de (x en el grado dos más tres))) menos raíz cuadrada de (x en el grado dos más tres)
- x*ln(absolute(x+√(x^2+3)))-√(x^2+3)
- x*ln(absolute(x+sqrt(x2+3)))-sqrt(x2+3)
- x*lnabsolutex+sqrtx2+3-sqrtx2+3
- x*ln(absolute(x+sqrt(x²+3)))-sqrt(x²+3)
- x*ln(absolute(x+sqrt(x en el grado 2+3)))-sqrt(x en el grado 2+3)
- xln(absolute(x+sqrt(x^2+3)))-sqrt(x^2+3)
- xln(absolute(x+sqrt(x2+3)))-sqrt(x2+3)
- xlnabsolutex+sqrtx2+3-sqrtx2+3
- xlnabsolutex+sqrtx^2+3-sqrtx^2+3
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Expresiones semejantes
- x*ln(absolute(x+sqrt(x^2-3)))-sqrt(x^2+3)
- x*ln(absolute(x+sqrt(x^2+3)))+sqrt(x^2+3)
- x*ln(absolute(x-sqrt(x^2+3)))-sqrt(x^2+3)
- x*ln(absolute(x+sqrt(x^2+3)))-sqrt(x^2-3)
Derivada de x*ln(absolute(x+sqrt(x^2+3)))-sqrt(x^2+3)
Solución
Ha introducido
[src]
/| ________|\ ________
|| / 2 || / 2
x*log\|x + \/ x + 3 |/ - \/ x + 3
$$x \log{\left(\left|{x + \sqrt{x^{2} + 3}}\right| \right)} - \sqrt{x^{2} + 3}$$
x*log(Abs(x + sqrt(x^2 + 3))) - sqrt(x^2 + 3)
Primera derivada
[src]
/ ________\
/ x \ | / 2 |
x*|1 + -----------|*sign\x + \/ x + 3 /
| ________|
| / 2 | /| ________|\
x \ \/ x + 3 / || / 2 ||
- ----------- + ----------------------------------------- + log\|x + \/ x + 3 |/
________ | ________|
/ 2 | / 2 |
\/ x + 3 |x + \/ x + 3 |
$$\frac{x \left(\frac{x}{\sqrt{x^{2} + 3}} + 1\right) \operatorname{sign}{\left(x + \sqrt{x^{2} + 3} \right)}}{\left|{x + \sqrt{x^{2} + 3}}\right|} - \frac{x}{\sqrt{x^{2} + 3}} + \log{\left(\left|{x + \sqrt{x^{2} + 3}}\right| \right)}$$
Segunda derivada
[src]
/ ________\ 2 / ________\ 2 / ________\
/ x \ | / 2 | / x \ 2| / 2 | / x \ | / 2 | / 2 \ / ________\
2*|1 + -----------|*sign\x + \/ 3 + x / x*|1 + -----------| *sign \x + \/ 3 + x / 2*x*|1 + -----------| *DiracDelta\x + \/ 3 + x / | x | | / 2 |
| ________| | ________| | ________| x*|-1 + ------|*sign\x + \/ 3 + x /
2 | / 2 | | / 2 | | / 2 | | 2|
1 x \ \/ 3 + x / \ \/ 3 + x / \ \/ 3 + x / \ 3 + x /
- ----------- + ----------- + ----------------------------------------- - ------------------------------------------- + -------------------------------------------------- - -------------------------------------
________ 3/2 | ________| 2 | ________| ________ | ________|
/ 2 / 2\ | / 2 | / ________\ | / 2 | / 2 | / 2 |
\/ 3 + x \3 + x / |x + \/ 3 + x | | / 2 | |x + \/ 3 + x | \/ 3 + x *|x + \/ 3 + x |
\x + \/ 3 + x /
$$\frac{x^{2}}{\left(x^{2} + 3\right)^{\frac{3}{2}}} + \frac{2 x \left(\frac{x}{\sqrt{x^{2} + 3}} + 1\right)^{2} \delta\left(x + \sqrt{x^{2} + 3}\right)}{\left|{x + \sqrt{x^{2} + 3}}\right|} - \frac{x \left(\frac{x^{2}}{x^{2} + 3} - 1\right) \operatorname{sign}{\left(x + \sqrt{x^{2} + 3} \right)}}{\sqrt{x^{2} + 3} \left|{x + \sqrt{x^{2} + 3}}\right|} - \frac{x \left(\frac{x}{\sqrt{x^{2} + 3}} + 1\right)^{2} \operatorname{sign}^{2}{\left(x + \sqrt{x^{2} + 3} \right)}}{\left(x + \sqrt{x^{2} + 3}\right)^{2}} + \frac{2 \left(\frac{x}{\sqrt{x^{2} + 3}} + 1\right) \operatorname{sign}{\left(x + \sqrt{x^{2} + 3} \right)}}{\left|{x + \sqrt{x^{2} + 3}}\right|} - \frac{1}{\sqrt{x^{2} + 3}}$$
Tercera derivada
[src]
2 / ________\ 2 / ________\ 3 / ________\ 3 / ________ \ 3 / ________\ / ________\ / 2 \ / ________\ / ________\ / 2 \
/ x \ 2| / 2 | / x \ | / 2 | / 2 \ / ________\ / x \ 2| / 2 | / x \ | / 2 | / x \ | / 2 | | / 2 | / 2 \ / ________\ / x \ | x | | / 2 | 2| / 2 | / x \ | x |
3*|1 + -----------| *sign \x + \/ 3 + x / 6*|1 + -----------| *DiracDelta\x + \/ 3 + x / | x | | / 2 | 2*x*|1 + -----------| *sign \x + \/ 3 + x / 2*x*|1 + -----------| *DiracDelta\x + \/ 3 + x , 1/ 6*x*|1 + -----------| *DiracDelta\x + \/ 3 + x /*sign\x + \/ 3 + x / 2 | x | | / 2 | 6*x*|1 + -----------|*|-1 + ------|*DiracDelta\x + \/ 3 + x / 3*x*sign \x + \/ 3 + x /*|1 + -----------|*|-1 + ------|
| ________| | ________| 3*|-1 + ------|*sign\x + \/ 3 + x / | ________| | ________| | ________| 3*x *|-1 + ------|*sign\x + \/ 3 + x / | ________| | 2| | ________| | 2|
3 | / 2 | | / 2 | | 2| | / 2 | | / 2 | | / 2 | | 2| | / 2 | \ 3 + x / | / 2 | \ 3 + x /
3*x 3*x \ \/ 3 + x / \ \/ 3 + x / \ 3 + x / \ \/ 3 + x / \ \/ 3 + x / \ \/ 3 + x / \ 3 + x / \ \/ 3 + x / \ \/ 3 + x /
- ----------- + ----------- - ------------------------------------------- + ------------------------------------------------ - ------------------------------------- + --------------------------------------------- + ----------------------------------------------------- - ------------------------------------------------------------------------ + ---------------------------------------- - --------------------------------------------------------------- + ----------------------------------------------------------
5/2 3/2 2 | ________| ________ | ________| 3 | ________| 2 3/2 | ________| ________ | ________| 2
/ 2\ / 2\ / ________\ | / 2 | / 2 | / 2 | / ________\ | / 2 | / ________\ / 2\ | / 2 | / 2 | / 2 | ________ / ________\
\3 + x / \3 + x / | / 2 | |x + \/ 3 + x | \/ 3 + x *|x + \/ 3 + x | | / 2 | |x + \/ 3 + x | | / 2 | \3 + x / *|x + \/ 3 + x | \/ 3 + x *|x + \/ 3 + x | / 2 | / 2 |
\x + \/ 3 + x / \x + \/ 3 + x / \x + \/ 3 + x / \/ 3 + x *\x + \/ 3 + x /
$$- \frac{3 x^{3}}{\left(x^{2} + 3\right)^{\frac{5}{2}}} + \frac{3 x^{2} \left(\frac{x^{2}}{x^{2} + 3} - 1\right) \operatorname{sign}{\left(x + \sqrt{x^{2} + 3} \right)}}{\left(x^{2} + 3\right)^{\frac{3}{2}} \left|{x + \sqrt{x^{2} + 3}}\right|} + \frac{2 x \left(\frac{x}{\sqrt{x^{2} + 3}} + 1\right)^{3} \delta^{\left( 1 \right)}\left( x + \sqrt{x^{2} + 3} \right)}{\left|{x + \sqrt{x^{2} + 3}}\right|} - \frac{6 x \left(\frac{x}{\sqrt{x^{2} + 3}} + 1\right) \left(\frac{x^{2}}{x^{2} + 3} - 1\right) \delta\left(x + \sqrt{x^{2} + 3}\right)}{\sqrt{x^{2} + 3} \left|{x + \sqrt{x^{2} + 3}}\right|} + \frac{3 x}{\left(x^{2} + 3\right)^{\frac{3}{2}}} - \frac{6 x \left(\frac{x}{\sqrt{x^{2} + 3}} + 1\right)^{3} \delta\left(x + \sqrt{x^{2} + 3}\right) \operatorname{sign}{\left(x + \sqrt{x^{2} + 3} \right)}}{\left(x + \sqrt{x^{2} + 3}\right)^{2}} + \frac{3 x \left(\frac{x}{\sqrt{x^{2} + 3}} + 1\right) \left(\frac{x^{2}}{x^{2} + 3} - 1\right) \operatorname{sign}^{2}{\left(x + \sqrt{x^{2} + 3} \right)}}{\left(x + \sqrt{x^{2} + 3}\right)^{2} \sqrt{x^{2} + 3}} + \frac{2 x \left(\frac{x}{\sqrt{x^{2} + 3}} + 1\right)^{3} \operatorname{sign}^{2}{\left(x + \sqrt{x^{2} + 3} \right)}}{\left(x + \sqrt{x^{2} + 3}\right)^{3}} + \frac{6 \left(\frac{x}{\sqrt{x^{2} + 3}} + 1\right)^{2} \delta\left(x + \sqrt{x^{2} + 3}\right)}{\left|{x + \sqrt{x^{2} + 3}}\right|} - \frac{3 \left(\frac{x^{2}}{x^{2} + 3} - 1\right) \operatorname{sign}{\left(x + \sqrt{x^{2} + 3} \right)}}{\sqrt{x^{2} + 3} \left|{x + \sqrt{x^{2} + 3}}\right|} - \frac{3 \left(\frac{x}{\sqrt{x^{2} + 3}} + 1\right)^{2} \operatorname{sign}^{2}{\left(x + \sqrt{x^{2} + 3} \right)}}{\left(x + \sqrt{x^{2} + 3}\right)^{2}}$$