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 1/x^5
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Derivada de x^2sinx
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Derivada de y
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Derivada de (x^2-1)/(x^2+1)
- Gráfico de la función y =:
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tan(x)^(4)*asin(4*x)^5
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Expresiones idénticas
- tan(x)^(cuatro)*asin(cuatro *x)^ cinco
- tangente de (x) en el grado (4) multiplicar por ar coseno de eno de (4 multiplicar por x) en el grado 5
- tangente de (x) en el grado (cuatro) multiplicar por ar coseno de eno de (cuatro multiplicar por x) en el grado cinco
- tan(x)(4)*asin(4*x)5
- tanx4*asin4*x5
- tan(x)^(4)*asin(4*x)⁵
- tan(x)^(4)asin(4x)^5
- tan(x)(4)asin(4x)5
- tanx4asin4x5
- tanx^4asin4x^5
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Expresiones semejantes
- tan(x)^(4)*arcsin(4*x)^5
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Expresiones con funciones
- Tangente tan
- tan(t)^(2)
- tan(7*x)
- tan(2*x+3)
- tan(x)-1/3*tan(x)^(3)+1/5*tan(x)^(5)
- tan(x)+1
- Arcoseno arcsin
- asin(sqrt(x))
- asin(1/x)
- asin(x)/acos(x)
- asint
- asin((x-1)/x)
Derivada de tan(x)^(4)*asin(4*x)^5
Solución
Ha introducido
[src]
4 5 tan (x)*asin (4*x)
$$\tan^{4}{\left(x \right)} \operatorname{asin}^{5}{\left(4 x \right)}$$
tan(x)^4*asin(4*x)^5
Primera derivada
[src]
4 4
5 3 / 2 \ 20*asin (4*x)*tan (x)
asin (4*x)*tan (x)*\4 + 4*tan (x)/ + ---------------------
___________
/ 2
\/ 1 - 16*x
$$\left(4 \tan^{2}{\left(x \right)} + 4\right) \tan^{3}{\left(x \right)} \operatorname{asin}^{5}{\left(4 x \right)} + \frac{20 \tan^{4}{\left(x \right)} \operatorname{asin}^{4}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}$$
Segunda derivada
[src]
/ / 2 \ \
3 2 | 2 / 1 x*asin(4*x) \ 2 / 2 \ / 2 \ 40*\1 + tan (x)/*asin(4*x)*tan(x)|
4*asin (4*x)*tan (x)*|80*tan (x)*|- ---------- + --------------| + asin (4*x)*\1 + tan (x)/*\3 + 5*tan (x)/ + ---------------------------------|
| | 2 3/2| ___________ |
| | -1 + 16*x / 2\ | / 2 |
\ \ \1 - 16*x / / \/ 1 - 16*x /
$$4 \left(80 \left(\frac{x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) \tan^{2}{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \left(5 \tan^{2}{\left(x \right)} + 3\right) \operatorname{asin}^{2}{\left(4 x \right)} + \frac{40 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \operatorname{asin}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) \tan^{2}{\left(x \right)} \operatorname{asin}^{3}{\left(4 x \right)}$$
Tercera derivada
[src]
/ / 2 2 2 \ / 2 \ 2 / 2 \ / 2 \ \
2 | 3 | 12 asin (4*x) 48*x*asin(4*x) 48*x *asin (4*x)| 3 / 2 \ | 4 / 2 \ 2 / 2 \| 2 / 2 \ / 1 x*asin(4*x) \ 30*asin (4*x)*\1 + tan (x)/*\3 + 5*tan (x)/*tan(x)|
8*asin (4*x)*|40*tan (x)*|-------------- + -------------- + -------------- + ----------------| + asin (4*x)*\1 + tan (x)/*\2*tan (x) + 3*\1 + tan (x)/ + 10*tan (x)*\1 + tan (x)// + 480*tan (x)*\1 + tan (x)/*|- ---------- + --------------|*asin(4*x) + --------------------------------------------------|*tan(x)
| | 3/2 3/2 2 5/2 | | 2 3/2| ___________ |
| |/ 2\ / 2\ / 2\ / 2\ | | -1 + 16*x / 2\ | / 2 |
\ \\1 - 16*x / \1 - 16*x / \-1 + 16*x / \1 - 16*x / / \ \1 - 16*x / / \/ 1 - 16*x /
$$8 \left(480 \left(\frac{x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} \operatorname{asin}{\left(4 x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \left(3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 10 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 2 \tan^{4}{\left(x \right)}\right) \operatorname{asin}^{3}{\left(4 x \right)} + 40 \left(\frac{48 x^{2} \operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{5}{2}}} + \frac{48 x \operatorname{asin}{\left(4 x \right)}}{\left(16 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + \frac{12}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right) \tan^{3}{\left(x \right)} + \frac{30 \left(\tan^{2}{\left(x \right)} + 1\right) \left(5 \tan^{2}{\left(x \right)} + 3\right) \tan{\left(x \right)} \operatorname{asin}^{2}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) \tan{\left(x \right)} \operatorname{asin}^{2}{\left(4 x \right)}$$
Gráfico