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/(x+1)^2
-
Derivada de (x+3)/(x-2)
-
Derivada de (x+4)^2*(x+1)+9
-
Derivada de e^(2-x)
-
Expresiones idénticas
- cuatro ^tan(x)^(tres)*acos(tres /x)
- 4 en el grado tangente de (x) en el grado (3) multiplicar por arco coseno de eno de (3 dividir por x)
- cuatro en el grado tangente de (x) en el grado (tres) multiplicar por arco coseno de eno de (tres dividir por x)
- 4tan(x)(3)*acos(3/x)
- 4tanx3*acos3/x
- 4^tan(x)^(3)acos(3/x)
- 4tan(x)(3)acos(3/x)
- 4tanx3acos3/x
- 4^tanx^3acos3/x
- 4^tan(x)^(3)*acos(3 dividir por x)
-
Expresiones semejantes
- 4^tan(x)^(3)*arccos(3/x)
-
Expresiones con funciones
- Tangente tan
- tan(t)^(2)
- tan(7*x)
- tan(log(x))
- tan(sinx)
- tan(sin(x))
- Arcocoseno arccos
- acos(2*x-1)
- acos(2x)
Derivada de 4^tan(x)^(3)*acos(3/x)
Solución
Ha introducido
[src]
3
tan (x) /3\
4 *acos|-|
\x/
$$4^{\tan^{3}{\left(x \right)}} \operatorname{acos}{\left(\frac{3}{x} \right)}$$
4^(tan(x)^3)*acos(3/x)
Primera derivada
[src]
3
tan (x) 3
3*4 tan (x) 2 / 2 \ /3\
---------------- + 4 *tan (x)*\3 + 3*tan (x)/*acos|-|*log(4)
________ \x/
2 / 9
x * / 1 - --
/ 2
\/ x
$$4^{\tan^{3}{\left(x \right)}} \left(3 \tan^{2}{\left(x \right)} + 3\right) \log{\left(4 \right)} \tan^{2}{\left(x \right)} \operatorname{acos}{\left(\frac{3}{x} \right)} + \frac{3 \cdot 4^{\tan^{3}{\left(x \right)}}}{x^{2} \sqrt{1 - \frac{9}{x^{2}}}}$$
Segunda derivada
[src]
/ 9 \
| 2 + ----------- |
| 2 / 9 \ |
| x *|1 - --| |
3 | | 2| 2 / 2 \ |
tan (x) | \ x / / 2 \ / 2 3 / 2 \ \ /3\ 6*tan (x)*\1 + tan (x)/*log(4)|
3*4 *|- ---------------- + \1 + tan (x)/*\2 + 4*tan (x) + 3*tan (x)*\1 + tan (x)/*log(4)/*acos|-|*log(4)*tan(x) + ------------------------------|
| ________ \x/ ________ |
| 3 / 9 2 / 9 |
| x * / 1 - -- x * / 1 - -- |
| / 2 / 2 |
\ \/ x \/ x /
$$3 \cdot 4^{\tan^{3}{\left(x \right)}} \left(\left(\tan^{2}{\left(x \right)} + 1\right) \left(3 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(4 \right)} \tan^{3}{\left(x \right)} + 4 \tan^{2}{\left(x \right)} + 2\right) \log{\left(4 \right)} \tan{\left(x \right)} \operatorname{acos}{\left(\frac{3}{x} \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(4 \right)} \tan^{2}{\left(x \right)}}{x^{2} \sqrt{1 - \frac{9}{x^{2}}}} - \frac{2 + \frac{9}{x^{2} \left(1 - \frac{9}{x^{2}}\right)}}{x^{3} \sqrt{1 - \frac{9}{x^{2}}}}\right)$$
Tercera derivada
[src]
/ / 21 81 \ \
|3*|2 + ----------- + ------------| 2 / 2 \ / 9 \ |
| | 2 / 9 \ 2| 9*tan (x)*\1 + tan (x)/*|2 + -----------|*log(4) |
| | x *|1 - --| 4 / 9 \ | | 2 / 9 \| |
| | | 2| x *|1 - --| | | x *|1 - --|| |
3 | | \ x / | 2| | / 2 2 2 \ | | 2|| / 2 \ / 2 3 / 2 \ \ |
tan (x) | \ \ x / / / 2 \ | / 2 \ 4 2 / 2 \ / 2 \ 2 6 / 2 \ 3 5 / 2 \ | /3\ \ \ x // 9*\1 + tan (x)/*\2 + 4*tan (x) + 3*tan (x)*\1 + tan (x)/*log(4)/*log(4)*tan(x)|
3*4 *|---------------------------------- + \1 + tan (x)/*\2*\1 + tan (x)/ + 4*tan (x) + 14*tan (x)*\1 + tan (x)/ + 9*\1 + tan (x)/ *log (4)*tan (x) + 18*\1 + tan (x)/ *tan (x)*log(4) + 18*tan (x)*\1 + tan (x)/*log(4)/*acos|-|*log(4) - ------------------------------------------------ + ------------------------------------------------------------------------------|
| ________ \x/ ________ ________ |
| 4 / 9 3 / 9 2 / 9 |
| x * / 1 - -- x * / 1 - -- x * / 1 - -- |
| / 2 / 2 / 2 |
\ \/ x \/ x \/ x /
$$3 \cdot 4^{\tan^{3}{\left(x \right)}} \left(\left(\tan^{2}{\left(x \right)} + 1\right) \left(9 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(4 \right)}^{2} \tan^{6}{\left(x \right)} + 18 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(4 \right)} \tan^{3}{\left(x \right)} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 18 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(4 \right)} \tan^{5}{\left(x \right)} + 14 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 4 \tan^{4}{\left(x \right)}\right) \log{\left(4 \right)} \operatorname{acos}{\left(\frac{3}{x} \right)} + \frac{9 \left(\tan^{2}{\left(x \right)} + 1\right) \left(3 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(4 \right)} \tan^{3}{\left(x \right)} + 4 \tan^{2}{\left(x \right)} + 2\right) \log{\left(4 \right)} \tan{\left(x \right)}}{x^{2} \sqrt{1 - \frac{9}{x^{2}}}} - \frac{9 \left(2 + \frac{9}{x^{2} \left(1 - \frac{9}{x^{2}}\right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(4 \right)} \tan^{2}{\left(x \right)}}{x^{3} \sqrt{1 - \frac{9}{x^{2}}}} + \frac{3 \left(2 + \frac{21}{x^{2} \left(1 - \frac{9}{x^{2}}\right)} + \frac{81}{x^{4} \left(1 - \frac{9}{x^{2}}\right)^{2}}\right)}{x^{4} \sqrt{1 - \frac{9}{x^{2}}}}\right)$$