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 sin(x/2)
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Derivada de 3/x
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Derivada de x^9
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Derivada de sqrt(x^2+1)
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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*x5)
- tanx4*asin4*x5
- tan(x)^(4)*asin(4*x⁵)
- tan(x)^(4)asin(4x^5)
- tan(x)(4)asin(4x5)
- 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(x)/x
- tan(x)^(3)
- tan(x)*cot(x)
- tan(x)*log(x)
- tan(x+pi/4)
- Arcoseno arcsin
- asin(y^2)
- asin(2*x)
- asin(x^3)
- asin(x)^4
- asin(x)/sqrt(1-x^2)+tan(x)*cot((x-1)/(x))
Derivada de tan(x)^(4)*asin(4*x^5)
Solución
Ha introducido
[src]
4 / 5\ tan (x)*asin\4*x /
$$\tan^{4}{\left(x \right)} \operatorname{asin}{\left(4 x^{5} \right)}$$
tan(x)^4*asin(4*x^5)
Primera derivada
[src]
4 4
3 / 2 \ / 5\ 20*x *tan (x)
tan (x)*\4 + 4*tan (x)/*asin\4*x / + ---------------
____________
/ 10
\/ 1 - 16*x
$$\frac{20 x^{4} \tan^{4}{\left(x \right)}}{\sqrt{1 - 16 x^{10}}} + \left(4 \tan^{2}{\left(x \right)} + 4\right) \tan^{3}{\left(x \right)} \operatorname{asin}{\left(4 x^{5} \right)}$$
Segunda derivada
[src]
/ / 10 \ \
| 3 2 | 20*x | |
| 20*x *tan (x)*|-1 + -----------| |
| | 10| 4 / 2 \ |
2 |/ 2 \ / 2 \ / 5\ \ -1 + 16*x / 40*x *\1 + tan (x)/*tan(x)|
4*tan (x)*|\1 + tan (x)/*\3 + 5*tan (x)/*asin\4*x / - -------------------------------- + --------------------------|
| ____________ ____________ |
| / 10 / 10 |
\ \/ 1 - 16*x \/ 1 - 16*x /
$$4 \left(\frac{40 x^{4} \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\sqrt{1 - 16 x^{10}}} - \frac{20 x^{3} \left(\frac{20 x^{10}}{16 x^{10} - 1} - 1\right) \tan^{2}{\left(x \right)}}{\sqrt{1 - 16 x^{10}}} + \left(\tan^{2}{\left(x \right)} + 1\right) \left(5 \tan^{2}{\left(x \right)} + 3\right) \operatorname{asin}{\left(4 x^{5} \right)}\right) \tan^{2}{\left(x \right)}$$
Tercera derivada
[src]
/ / 10 20 \ \ | 2 3 | 340*x 4800*x | / 10 \ | | 10*x *tan (x)*|3 - ----------- + --------------| 3 2 / 2 \ | 20*x | | | | 10 2| 120*x *tan (x)*\1 + tan (x)/*|-1 + -----------| | | / 2 \ | -1 + 16*x / 10\ | | 10| 4 / 2 \ / 2 \ | |/ 2 \ | 4 / 2 \ 2 / 2 \| / 5\ \ \-1 + 16*x / / \ -1 + 16*x / 30*x *\1 + tan (x)/*\3 + 5*tan (x)/*tan(x)| 8*|\1 + tan (x)/*\2*tan (x) + 3*\1 + tan (x)/ + 10*tan (x)*\1 + tan (x)//*asin\4*x / + ------------------------------------------------ - ----------------------------------------------- + ------------------------------------------|*tan(x) | ____________ ____________ ____________ | | / 10 / 10 / 10 | \ \/ 1 - 16*x \/ 1 - 16*x \/ 1 - 16*x /
$$8 \left(\frac{30 x^{4} \left(\tan^{2}{\left(x \right)} + 1\right) \left(5 \tan^{2}{\left(x \right)} + 3\right) \tan{\left(x \right)}}{\sqrt{1 - 16 x^{10}}} - \frac{120 x^{3} \left(\frac{20 x^{10}}{16 x^{10} - 1} - 1\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{\sqrt{1 - 16 x^{10}}} + \frac{10 x^{2} \left(\frac{4800 x^{20}}{\left(16 x^{10} - 1\right)^{2}} - \frac{340 x^{10}}{16 x^{10} - 1} + 3\right) \tan^{3}{\left(x \right)}}{\sqrt{1 - 16 x^{10}}} + \left(\tan^{2}{\left(x \right)} + 1\right) \left(3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 10 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 2 \tan^{4}{\left(x \right)}\right) \operatorname{asin}{\left(4 x^{5} \right)}\right) \tan{\left(x \right)}$$
Gráfico