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 (3x^4-x)^7
-
Derivada de (3x+6)^2
-
Derivada de (1+cos(x))/(1-cos(x))
-
Derivada de (2*x-9)/(x-5)
-
Expresiones idénticas
- y=tg^(cinco)*3x*arcsin(5x)
- y es igual a tg en el grado (5) multiplicar por 3x multiplicar por arc seno de (5x)
- y es igual a tg en el grado (cinco) multiplicar por 3x multiplicar por arc seno de (5x)
- y=tg(5)*3x*arcsin(5x)
- y=tg5*3x*arcsin5x
- y=tg^(5)3xarcsin(5x)
- y=tg(5)3xarcsin(5x)
- y=tg53xarcsin5x
- y=tg^53xarcsin5x
Derivada de y=tg^(5)*3x*arcsin(5x)
Solución
Ha introducido
[src]
5 tan (3*x*asin(x))*5*x
$$5 x \tan^{5}{\left(3 x \operatorname{asin}{\left(x \right)} \right)}$$
tan((3*x)*asin(x))^5*(5*x)
Primera derivada
[src]
5 4 / 2 \ / 3*x \
5*tan (3*x*asin(x)) + 25*x*tan (3*x*asin(x))*\1 + tan (3*x*asin(x))/*|3*asin(x) + -----------|
| ________|
| / 2 |
\ \/ 1 - x /
$$25 x \left(\frac{3 x}{\sqrt{1 - x^{2}}} + 3 \operatorname{asin}{\left(x \right)}\right) \left(\tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} + 1\right) \tan^{4}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} + 5 \tan^{5}{\left(3 x \operatorname{asin}{\left(x \right)} \right)}$$
Segunda derivada
[src]
/ / / 2 \ \ \
| | | x | | |
| | |-2 + -------|*tan(3*x*asin(x))| |
| | 2 2 | 2| | |
3 / 2 \ | | / x \ 2 / x \ / 2 \ \ -1 + x / | / x \ |
75*tan (3*x*asin(x))*\1 + tan (3*x*asin(x))/*|x*|6*|----------- + asin(x)| *tan (3*x*asin(x)) + 12*|----------- + asin(x)| *\1 + tan (3*x*asin(x))/ - -------------------------------| + 2*|----------- + asin(x)|*tan(3*x*asin(x))|
| | | ________ | | ________ | ________ | | ________ | |
| | | / 2 | | / 2 | / 2 | | / 2 | |
\ \ \\/ 1 - x / \\/ 1 - x / \/ 1 - x / \\/ 1 - x / /
$$75 \left(x \left(12 \left(\frac{x}{\sqrt{1 - x^{2}}} + \operatorname{asin}{\left(x \right)}\right)^{2} \left(\tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} + 1\right) + 6 \left(\frac{x}{\sqrt{1 - x^{2}}} + \operatorname{asin}{\left(x \right)}\right)^{2} \tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} - \frac{\left(\frac{x^{2}}{x^{2} - 1} - 2\right) \tan{\left(3 x \operatorname{asin}{\left(x \right)} \right)}}{\sqrt{1 - x^{2}}}\right) + 2 \left(\frac{x}{\sqrt{1 - x^{2}}} + \operatorname{asin}{\left(x \right)}\right) \tan{\left(3 x \operatorname{asin}{\left(x \right)} \right)}\right) \left(\tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} + 1\right) \tan^{3}{\left(3 x \operatorname{asin}{\left(x \right)} \right)}$$
Tercera derivada
[src]
/ / / 2 \ / 2 \ \ \
| | / 2 \ 3 | x | / x \ / 2 \ | x | / x \ | / / 2 \ \ |
| | 2 | 3*x | 18*tan (3*x*asin(x))*|-2 + -------|*|----------- + asin(x)| 36*\1 + tan (3*x*asin(x))/*|-2 + -------|*|----------- + asin(x)|*tan(3*x*asin(x))| | | x | | |
| | x*tan (3*x*asin(x))*|-4 + -------| | 2| | ________ | | 2| | ________ | | | |-2 + -------|*tan(3*x*asin(x))| |
| | 2 3 3 3 | 2| \ -1 + x / | / 2 | \ -1 + x / | / 2 | | | 2 2 | 2| | |
2 / 2 \ | | / 2 \ / x \ / x \ 4 / x \ 2 / 2 \ \ -1 + x / \\/ 1 - x / \\/ 1 - x / | | / x \ 2 / x \ / 2 \ \ -1 + x / | |
75*tan (3*x*asin(x))*\1 + tan (3*x*asin(x))/*|- x*|- 108*\1 + tan (3*x*asin(x))/ *|----------- + asin(x)| - 36*|----------- + asin(x)| *tan (3*x*asin(x)) - 234*|----------- + asin(x)| *tan (3*x*asin(x))*\1 + tan (3*x*asin(x))/ + ---------------------------------- + ----------------------------------------------------------- + ----------------------------------------------------------------------------------| + 3*|6*|----------- + asin(x)| *tan (3*x*asin(x)) + 12*|----------- + asin(x)| *\1 + tan (3*x*asin(x))/ - -------------------------------|*tan(3*x*asin(x))|
| | | ________ | | ________ | | ________ | 3/2 ________ ________ | | | ________ | | ________ | ________ | |
| | | / 2 | | / 2 | | / 2 | / 2\ / 2 / 2 | | | / 2 | | / 2 | / 2 | |
\ \ \\/ 1 - x / \\/ 1 - x / \\/ 1 - x / \1 - x / \/ 1 - x \/ 1 - x / \ \\/ 1 - x / \\/ 1 - x / \/ 1 - x / /
$$75 \left(- x \left(\frac{x \left(\frac{3 x^{2}}{x^{2} - 1} - 4\right) \tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 108 \left(\frac{x}{\sqrt{1 - x^{2}}} + \operatorname{asin}{\left(x \right)}\right)^{3} \left(\tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} + 1\right)^{2} - 234 \left(\frac{x}{\sqrt{1 - x^{2}}} + \operatorname{asin}{\left(x \right)}\right)^{3} \left(\tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} + 1\right) \tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} - 36 \left(\frac{x}{\sqrt{1 - x^{2}}} + \operatorname{asin}{\left(x \right)}\right)^{3} \tan^{4}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} + \frac{36 \left(\frac{x}{\sqrt{1 - x^{2}}} + \operatorname{asin}{\left(x \right)}\right) \left(\frac{x^{2}}{x^{2} - 1} - 2\right) \left(\tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} + 1\right) \tan{\left(3 x \operatorname{asin}{\left(x \right)} \right)}}{\sqrt{1 - x^{2}}} + \frac{18 \left(\frac{x}{\sqrt{1 - x^{2}}} + \operatorname{asin}{\left(x \right)}\right) \left(\frac{x^{2}}{x^{2} - 1} - 2\right) \tan^{3}{\left(3 x \operatorname{asin}{\left(x \right)} \right)}}{\sqrt{1 - x^{2}}}\right) + 3 \left(12 \left(\frac{x}{\sqrt{1 - x^{2}}} + \operatorname{asin}{\left(x \right)}\right)^{2} \left(\tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} + 1\right) + 6 \left(\frac{x}{\sqrt{1 - x^{2}}} + \operatorname{asin}{\left(x \right)}\right)^{2} \tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} - \frac{\left(\frac{x^{2}}{x^{2} - 1} - 2\right) \tan{\left(3 x \operatorname{asin}{\left(x \right)} \right)}}{\sqrt{1 - x^{2}}}\right) \tan{\left(3 x \operatorname{asin}{\left(x \right)} \right)}\right) \left(\tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)} + 1\right) \tan^{2}{\left(3 x \operatorname{asin}{\left(x \right)} \right)}$$
Gráfico