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 d/dx(x)
- Derivada de c/x
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Derivada de e^16-x
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Derivada de (cos(x))^x^2
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Expresiones idénticas
- y=(arcsin4x)/(cos^ cinco)2x
- y es igual a (arc seno de 4x) dividir por ( coseno de en el grado 5)2x
- y es igual a (arc seno de 4x) dividir por ( coseno de en el grado cinco)2x
- y=(arcsin4x)/(cos5)2x
- y=arcsin4x/cos52x
- y=(arcsin4x)/(cos⁵)2x
- y=arcsin4x/cos^52x
- y=(arcsin4x) dividir por (cos^5)2x
Derivada de y=(arcsin4x)/(cos^5)2x
Solución
Ha introducido
[src]
asin(4*x)
---------*2*x
5
cos (x)
$$x 2 \frac{\operatorname{asin}{\left(4 x \right)}}{\cos^{5}{\left(x \right)}}$$
((asin(4*x)/cos(x)^5)*2)*x
Primera derivada
[src]
/ 8 10*asin(4*x)*sin(x)\ asin(4*x) x*|---------------------- + -------------------| + ---------*2 | ___________ 6 | 5 | / 2 5 cos (x) | cos (x) \\/ 1 - 16*x *cos (x) /
$$x \left(\frac{10 \sin{\left(x \right)} \operatorname{asin}{\left(4 x \right)}}{\cos^{6}{\left(x \right)}} + \frac{8}{\sqrt{1 - 16 x^{2}} \cos^{5}{\left(x \right)}}\right) + 2 \frac{\operatorname{asin}{\left(4 x \right)}}{\cos^{5}{\left(x \right)}}$$
Segunda derivada
[src]
/ / / 2 \ \ \
| 8 | | 6*sin (x)| 64*x 40*sin(x) | 10*asin(4*x)*sin(x)|
2*|-------------- + x*|5*|1 + ---------|*asin(4*x) + -------------- + ---------------------| + -------------------|
| ___________ | | 2 | 3/2 ___________ | cos(x) |
| / 2 | \ cos (x) / / 2\ / 2 | |
\\/ 1 - 16*x \ \1 - 16*x / \/ 1 - 16*x *cos(x)/ /
-------------------------------------------------------------------------------------------------------------------
5
cos (x)
$$\frac{2 \left(x \left(\frac{64 x}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + 5 \left(\frac{6 \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1\right) \operatorname{asin}{\left(4 x \right)} + \frac{40 \sin{\left(x \right)}}{\sqrt{1 - 16 x^{2}} \cos{\left(x \right)}}\right) + \frac{10 \sin{\left(x \right)} \operatorname{asin}{\left(4 x \right)}}{\cos{\left(x \right)}} + \frac{8}{\sqrt{1 - 16 x^{2}}}\right)}{\cos^{5}{\left(x \right)}}$$
Tercera derivada
[src]
/ / / 2 \ / 2 \ / 2 \ \ \
| | | 48*x | | 6*sin (x)| | 42*sin (x)| | |
| | 64*|-1 + ----------| 60*|1 + ---------| 5*|17 + ----------|*asin(4*x)*sin(x) | |
| | | 2| | 2 | | 2 | | / 2 \ |
| | \ -1 + 16*x / \ cos (x) / \ cos (x) / 960*x*sin(x) | | 6*sin (x)| 192*x 120*sin(x) |
2*|x*|- -------------------- + ------------------ + ------------------------------------ + ---------------------| + 15*|1 + ---------|*asin(4*x) + -------------- + ---------------------|
| | 3/2 ___________ cos(x) 3/2 | | 2 | 3/2 ___________ |
| | / 2\ / 2 / 2\ | \ cos (x) / / 2\ / 2 |
\ \ \1 - 16*x / \/ 1 - 16*x \1 - 16*x / *cos(x)/ \1 - 16*x / \/ 1 - 16*x *cos(x)/
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5
cos (x)
$$\frac{2 \left(x \left(\frac{960 x \sin{\left(x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}} \cos{\left(x \right)}} + \frac{5 \left(\frac{42 \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 17\right) \sin{\left(x \right)} \operatorname{asin}{\left(4 x \right)}}{\cos{\left(x \right)}} + \frac{60 \left(\frac{6 \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1\right)}{\sqrt{1 - 16 x^{2}}} - \frac{64 \left(\frac{48 x^{2}}{16 x^{2} - 1} - 1\right)}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right) + \frac{192 x}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + 15 \left(\frac{6 \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 1\right) \operatorname{asin}{\left(4 x \right)} + \frac{120 \sin{\left(x \right)}}{\sqrt{1 - 16 x^{2}} \cos{\left(x \right)}}\right)}{\cos^{5}{\left(x \right)}}$$
Gráfico