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 1/t
-
Derivada de x^(2/5)
-
Derivada de 1/ln(x)
-
Derivada de f(x)=√x
-
Expresiones idénticas
- |x|*(ln(|x|))^(seis / siete)
- módulo de x| multiplicar por (ln(|x|)) en el grado (6 dividir por 7)
- módulo de x| multiplicar por (ln(|x|)) en el grado (seis dividir por siete)
- |x|*(ln(|x|))(6/7)
- |x|*ln|x|6/7
- |x|(ln(|x|))^(6/7)
- |x|(ln(|x|))(6/7)
- |x|ln|x|6/7
- |x|ln|x|^6/7
- |x|*(ln(|x|))^(6 dividir por 7)
-
Expresiones con funciones
- ln
- ln^2(2x-1)
- ln*(x+sqrt*(x^2+1))
- ln(√x)
- ln(x+1)/x^2
- ln(x^1/2)
- Módulo |
- |z|*z
- |x|^(π)
- |x|*x*a
- |x*x-5*x|
- |x|*log(|x|)^(6/7)
Derivada de |x|*(ln(|x|))^(6/7)
Solución
Ha introducido
[src]
6/7 |x|*log (|x|)
$$\log{\left(\left|{x}\right| \right)}^{\frac{6}{7}} \left|{x}\right|$$
|x|*log(|x|)^(6/7)
Primera derivada
[src]
6/7 6*sign(x)
log (|x|)*sign(x) + --------------
7 __________
7*\/ log(|x|)
$$\log{\left(\left|{x}\right| \right)}^{\frac{6}{7}} \operatorname{sign}{\left(x \right)} + \frac{6 \operatorname{sign}{\left(x \right)}}{7 \sqrt[7]{\log{\left(\left|{x}\right| \right)}}}$$
Segunda derivada
[src]
/ / 2 2 \ \ | | 14*DiracDelta(x) 7*sign (x) sign (x) | | | 3*|- ---------------- + ---------- + -----------|*|x| | | | |x| 2 2 | 2 | | 6/7 \ x x *log(|x|)/ 6*sign (x) | 2*|log (|x|)*DiracDelta(x) - ----------------------------------------------------- + ------------------| | 7 __________ 7 __________| \ 49*\/ log(|x|) 7*|x|*\/ log(|x|) /
$$2 \left(- \frac{3 \left(- \frac{14 \delta\left(x\right)}{\left|{x}\right|} + \frac{7 \operatorname{sign}^{2}{\left(x \right)}}{x^{2}} + \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{2} \log{\left(\left|{x}\right| \right)}}\right) \left|{x}\right|}{49 \sqrt[7]{\log{\left(\left|{x}\right| \right)}}} + \log{\left(\left|{x}\right| \right)}^{\frac{6}{7}} \delta\left(x\right) + \frac{6 \operatorname{sign}^{2}{\left(x \right)}}{7 \sqrt[7]{\log{\left(\left|{x}\right| \right)}} \left|{x}\right|}\right)$$
Tercera derivada
[src]
/ / 2 2 \ / 2 2 3 3 \ \ | | 14*DiracDelta(x) 7*sign (x) sign (x) | |98*sign (x) 98*DiracDelta(x, 1) 294*DiracDelta(x)*sign(x) 14*sign (x) 42*DiracDelta(x)*sign(x) 7*sign (x) 8*sign (x) | | | 9*|- ---------------- + ---------- + -----------|*sign(x) 3*|----------- + ------------------- - ------------------------- + ----------- - ------------------------ + --------------- + ----------------|*|x| | | | |x| 2 2 | | 3 |x| 2 3 2 2 2 2 | | | 6/7 \ x x *log(|x|)/ \ x x x *log(|x|) x *log(|x|) x *|x|*log(|x|) x *|x|*log (|x|)/ 18*DiracDelta(x)*sign(x)| 2*|log (|x|)*DiracDelta(x, 1) - --------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------| | 7 __________ 7 __________ 7 __________ | \ 49*\/ log(|x|) 343*\/ log(|x|) 7*|x|*\/ log(|x|) /
$$2 \left(- \frac{9 \left(- \frac{14 \delta\left(x\right)}{\left|{x}\right|} + \frac{7 \operatorname{sign}^{2}{\left(x \right)}}{x^{2}} + \frac{\operatorname{sign}^{2}{\left(x \right)}}{x^{2} \log{\left(\left|{x}\right| \right)}}\right) \operatorname{sign}{\left(x \right)}}{49 \sqrt[7]{\log{\left(\left|{x}\right| \right)}}} + \frac{3 \left(\frac{98 \delta^{\left( 1 \right)}\left( x \right)}{\left|{x}\right|} - \frac{294 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x^{2}} - \frac{42 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x^{2} \log{\left(\left|{x}\right| \right)}} + \frac{7 \operatorname{sign}^{3}{\left(x \right)}}{x^{2} \log{\left(\left|{x}\right| \right)} \left|{x}\right|} + \frac{8 \operatorname{sign}^{3}{\left(x \right)}}{x^{2} \log{\left(\left|{x}\right| \right)}^{2} \left|{x}\right|} + \frac{98 \operatorname{sign}^{2}{\left(x \right)}}{x^{3}} + \frac{14 \operatorname{sign}^{2}{\left(x \right)}}{x^{3} \log{\left(\left|{x}\right| \right)}}\right) \left|{x}\right|}{343 \sqrt[7]{\log{\left(\left|{x}\right| \right)}}} + \log{\left(\left|{x}\right| \right)}^{\frac{6}{7}} \delta^{\left( 1 \right)}\left( x \right) + \frac{18 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{7 \sqrt[7]{\log{\left(\left|{x}\right| \right)}} \left|{x}\right|}\right)$$
Gráfico