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*atan(x)
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Derivada de x^-3
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Derivada de x*2
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Derivada de x^4*sin(x)
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Expresiones idénticas
- y=tg^ cuatro (3x)*arcsin dos x^2
- y es igual a tg en el grado 4(3x) multiplicar por arc seno de 2x al cuadrado
- y es igual a tg en el grado cuatro (3x) multiplicar por arc seno de dos x al cuadrado
- y=tg4(3x)*arcsin2x2
- y=tg43x*arcsin2x2
- y=tg⁴(3x)*arcsin2x²
- y=tg en el grado 4(3x)*arcsin2x en el grado 2
- y=tg^4(3x)arcsin2x^2
- y=tg4(3x)arcsin2x2
- y=tg43xarcsin2x2
- y=tg^43xarcsin2x^2
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Expresiones con funciones
- tg
- tg^2(2x)
- tg(x)*arcctg(x)
- tg(x)^2
- tg(x)/x
- tg(x+x³)
Derivada de y=tg^4(3x)*arcsin2x^2
Solución
Ha introducido
[src]
4 2 tan (3*x)*asin (2*x)
$$\tan^{4}{\left(3 x \right)} \operatorname{asin}^{2}{\left(2 x \right)}$$
tan(3*x)^4*asin(2*x)^2
Primera derivada
[src]
4
2 3 / 2 \ 4*tan (3*x)*asin(2*x)
asin (2*x)*tan (3*x)*\12 + 12*tan (3*x)/ + ---------------------
__________
/ 2
\/ 1 - 4*x
$$\left(12 \tan^{2}{\left(3 x \right)} + 12\right) \tan^{3}{\left(3 x \right)} \operatorname{asin}^{2}{\left(2 x \right)} + \frac{4 \tan^{4}{\left(3 x \right)} \operatorname{asin}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}$$
Segunda derivada
[src]
/ / 2 \ \
2 | 2 / 1 2*x*asin(2*x)\ 2 / 2 \ / 2 \ 24*\1 + tan (3*x)/*asin(2*x)*tan(3*x)|
4*tan (3*x)*|2*tan (3*x)*|- --------- + -------------| + 9*asin (2*x)*\1 + tan (3*x)/*\3 + 5*tan (3*x)/ + -------------------------------------|
| | 2 3/2| __________ |
| | -1 + 4*x / 2\ | / 2 |
\ \ \1 - 4*x / / \/ 1 - 4*x /
$$4 \left(2 \left(\frac{2 x \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{4 x^{2} - 1}\right) \tan^{2}{\left(3 x \right)} + 9 \left(\tan^{2}{\left(3 x \right)} + 1\right) \left(5 \tan^{2}{\left(3 x \right)} + 3\right) \operatorname{asin}^{2}{\left(2 x \right)} + \frac{24 \left(\tan^{2}{\left(3 x \right)} + 1\right) \tan{\left(3 x \right)} \operatorname{asin}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}\right) \tan^{2}{\left(3 x \right)}$$
Tercera derivada
[src]
/ / 2 \ / 2 \ / 2 \ / 2 \ \ | 3 | asin(2*x) 6*x 12*x *asin(2*x)| 2 / 2 \ | 4 / 2 \ 2 / 2 \| 2 / 2 \ / 1 2*x*asin(2*x)\ 54*\1 + tan (3*x)/*\3 + 5*tan (3*x)/*asin(2*x)*tan(3*x)| 8*|2*tan (3*x)*|------------- + ------------ + ---------------| + 27*asin (2*x)*\1 + tan (3*x)/*\2*tan (3*x) + 3*\1 + tan (3*x)/ + 10*tan (3*x)*\1 + tan (3*x)// + 36*tan (3*x)*\1 + tan (3*x)/*|- --------- + -------------| + -------------------------------------------------------|*tan(3*x) | | 3/2 2 5/2 | | 2 3/2| __________ | | |/ 2\ / 2\ / 2\ | | -1 + 4*x / 2\ | / 2 | \ \\1 - 4*x / \-1 + 4*x / \1 - 4*x / / \ \1 - 4*x / / \/ 1 - 4*x /
$$8 \left(36 \left(\frac{2 x \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{4 x^{2} - 1}\right) \left(\tan^{2}{\left(3 x \right)} + 1\right) \tan^{2}{\left(3 x \right)} + 27 \left(\tan^{2}{\left(3 x \right)} + 1\right) \left(3 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} + 10 \left(\tan^{2}{\left(3 x \right)} + 1\right) \tan^{2}{\left(3 x \right)} + 2 \tan^{4}{\left(3 x \right)}\right) \operatorname{asin}^{2}{\left(2 x \right)} + 2 \left(\frac{12 x^{2} \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} + \frac{6 x}{\left(4 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right) \tan^{3}{\left(3 x \right)} + \frac{54 \left(\tan^{2}{\left(3 x \right)} + 1\right) \left(5 \tan^{2}{\left(3 x \right)} + 3\right) \tan{\left(3 x \right)} \operatorname{asin}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}\right) \tan{\left(3 x \right)}$$
Gráfico