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+3)
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Derivada de 4*y
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Derivada de (-1)/x-3*x
- Derivada de y=ax
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Expresiones idénticas
- y=asin(sqrt5*x*tg^2x)
- y es igual a ar coseno de eno de ( raíz cuadrada de 5 multiplicar por x multiplicar por tg al cuadrado x)
- y=asin(√5*x*tg^2x)
- y=asin(sqrt5*x*tg2x)
- y=asinsqrt5*x*tg2x
- y=asin(sqrt5*x*tg²x)
- y=asin(sqrt5*x*tg en el grado 2x)
- y=asin(sqrt5xtg^2x)
- y=asin(sqrt5xtg2x)
- y=asinsqrt5xtg2x
- y=asinsqrt5xtg^2x
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Expresiones semejantes
- y=arcsin(sqrt5*x*tg^2x)
Derivada de y=asin(sqrt5*x*tg^2x)
Solución
Ha introducido
[src]
/ ___ 2 \ asin\\/ 5 *x*tan (x)/
$$\operatorname{asin}{\left(\sqrt{5} x \tan^{2}{\left(x \right)} \right)}$$
asin((sqrt(5)*x)*tan(x)^2)
Primera derivada
[src]
___ 2 ___ / 2 \
\/ 5 *tan (x) + x*\/ 5 *\2 + 2*tan (x)/*tan(x)
----------------------------------------------
__________________
/ 2 4
\/ 1 - 5*x *tan (x)
$$\frac{\sqrt{5} x \left(2 \tan^{2}{\left(x \right)} + 2\right) \tan{\left(x \right)} + \sqrt{5} \tan^{2}{\left(x \right)}}{\sqrt{- 5 x^{2} \tan^{4}{\left(x \right)} + 1}}$$
Segunda derivada
[src]
/ 2 \
| / / 2 \ \ 4 |
___ | / 2 \ / / 2 \ 2 \ 5*x*\2*x*\1 + tan (x)/ + tan(x)/ *tan (x)|
\/ 5 *|2*\1 + tan (x)/*\2*tan(x) + x*\1 + tan (x)/ + 2*x*tan (x)/ + -----------------------------------------|
| 2 4 |
\ 1 - 5*x *tan (x) /
--------------------------------------------------------------------------------------------------------------
__________________
/ 2 4
\/ 1 - 5*x *tan (x)
$$\frac{\sqrt{5} \left(\frac{5 x \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)^{2} \tan^{4}{\left(x \right)}}{- 5 x^{2} \tan^{4}{\left(x \right)} + 1} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + 2 x \tan^{2}{\left(x \right)} + 2 \tan{\left(x \right)}\right)\right)}{\sqrt{- 5 x^{2} \tan^{4}{\left(x \right)} + 1}}$$
Tercera derivada
[src]
/ / 2 \ 3 \
| 3 / / 2 \ \ | 2 2 / 2 \ 2 2 / 2 \ / 2 \ | 2 / / 2 \ \ 7 3 / 2 \ / / 2 \ \ / / 2 \ 2 \|
___ | / 2 \ / 2 3 / 2 \ \ 5*tan (x)*\2*x*\1 + tan (x)/ + tan(x)/*\tan (x) + 6*x *\1 + tan (x)/ + 4*x *tan (x)*\1 + tan (x)/ + 8*x*\1 + tan (x)/*tan(x)/ 75*x *\2*x*\1 + tan (x)/ + tan(x)/ *tan (x) 20*x*tan (x)*\1 + tan (x)/*\2*x*\1 + tan (x)/ + tan(x)/*\2*tan(x) + x*\1 + tan (x)/ + 2*x*tan (x)/|
\/ 5 *|2*\1 + tan (x)/*\3 + 9*tan (x) + 4*x*tan (x) + 8*x*\1 + tan (x)/*tan(x)/ + ------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------- + --------------------------------------------------------------------------------------------------|
| 2 4 2 2 4 |
| 1 - 5*x *tan (x) / 2 4 \ 1 - 5*x *tan (x) |
\ \1 - 5*x *tan (x)/ /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
__________________
/ 2 4
\/ 1 - 5*x *tan (x)
$$\frac{\sqrt{5} \left(\frac{75 x^{2} \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)^{3} \tan^{7}{\left(x \right)}}{\left(- 5 x^{2} \tan^{4}{\left(x \right)} + 1\right)^{2}} + \frac{20 x \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + 2 x \tan^{2}{\left(x \right)} + 2 \tan{\left(x \right)}\right) \tan^{3}{\left(x \right)}}{- 5 x^{2} \tan^{4}{\left(x \right)} + 1} + \frac{5 \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(6 x^{2} \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 x^{2} \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 8 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)}\right) \tan^{3}{\left(x \right)}}{- 5 x^{2} \tan^{4}{\left(x \right)} + 1} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \left(8 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + 4 x \tan^{3}{\left(x \right)} + 9 \tan^{2}{\left(x \right)} + 3\right)\right)}{\sqrt{- 5 x^{2} \tan^{4}{\left(x \right)} + 1}}$$
Gráfico