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 e^-1
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Derivada de (x^2)'
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Derivada de y
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Derivada de (x^5+1)
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Expresiones idénticas
- y=sqrtarctgx^ dos *cos^72x
- y es igual a raíz cuadrada de arctgx al cuadrado multiplicar por coseno de en el grado 72x
- y es igual a raíz cuadrada de arctgx en el grado dos multiplicar por coseno de en el grado 72x
- y=√arctgx^2*cos^72x
- y=sqrtarctgx2*cos72x
- y=sqrtarctgx²*cos⁷2x
- y=sqrtarctgx en el grado 2*cos en el grado 72x
- y=sqrtarctgx^2cos^72x
- y=sqrtarctgx2cos72x
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Expresiones con funciones
- Coseno cos
- cos(x)/2
- cosx/lnx
- cos(x)^(1/2)
- cos(x)*log(x)
- cos(x)^(23)
Derivada de y=sqrtarctgx^2*cos^72x
Solución
Ha introducido
[src]
2 49 t*acot (x)*cos (2*x)
$$t \operatorname{acot}^{2}{\left(x \right)} \cos^{49}{\left(2 x \right)}$$
(t*acot(x)^2)*cos(2*x)^49
Primera derivada
[src]
49
2 48 2*t*cos (2*x)*acot(x)
- 98*t*acot (x)*cos (2*x)*sin(2*x) - ----------------------
2
1 + x
$$- 98 t \sin{\left(2 x \right)} \cos^{48}{\left(2 x \right)} \operatorname{acot}^{2}{\left(x \right)} - \frac{2 t \cos^{49}{\left(2 x \right)} \operatorname{acot}{\left(x \right)}}{x^{2} + 1}$$
Segunda derivada
[src]
/ 2 \
47 | 2 / 2 2 \ cos (2*x)*(1 + 2*x*acot(x)) 196*acot(x)*cos(2*x)*sin(2*x)|
2*t*cos (2*x)*|98*acot (x)*\- cos (2*x) + 48*sin (2*x)/ + --------------------------- + -----------------------------|
| 2 2 |
| / 2\ 1 + x |
\ \1 + x / /
$$2 t \left(98 \left(48 \sin^{2}{\left(2 x \right)} - \cos^{2}{\left(2 x \right)}\right) \operatorname{acot}^{2}{\left(x \right)} + \frac{196 \sin{\left(2 x \right)} \cos{\left(2 x \right)} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \frac{\left(2 x \operatorname{acot}{\left(x \right)} + 1\right) \cos^{2}{\left(2 x \right)}}{\left(x^{2} + 1\right)^{2}}\right) \cos^{47}{\left(2 x \right)}$$
Tercera derivada
[src]
/ / 2 \ \
| 3 | 3*x 4*x *acot(x)| |
|cos (2*x)*|-acot(x) + ------ + ------------| |
| | 2 2 | 2 / 2 2 \ |
46 | \ 1 + x 1 + x / 2 / 2 2 \ 147*cos (2*x)*(1 + 2*x*acot(x))*sin(2*x) 294*\- cos (2*x) + 48*sin (2*x)/*acot(x)*cos(2*x)|
-4*t*cos (2*x)*|-------------------------------------------- + 98*acot (x)*\- 145*cos (2*x) + 2256*sin (2*x)/*sin(2*x) + ---------------------------------------- + -------------------------------------------------|
| 2 2 2 |
| / 2\ / 2\ 1 + x |
\ \1 + x / \1 + x / /
$$- 4 t \left(98 \left(2256 \sin^{2}{\left(2 x \right)} - 145 \cos^{2}{\left(2 x \right)}\right) \sin{\left(2 x \right)} \operatorname{acot}^{2}{\left(x \right)} + \frac{294 \left(48 \sin^{2}{\left(2 x \right)} - \cos^{2}{\left(2 x \right)}\right) \cos{\left(2 x \right)} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \frac{147 \left(2 x \operatorname{acot}{\left(x \right)} + 1\right) \sin{\left(2 x \right)} \cos^{2}{\left(2 x \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{\left(\frac{4 x^{2} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \frac{3 x}{x^{2} + 1} - \operatorname{acot}{\left(x \right)}\right) \cos^{3}{\left(2 x \right)}}{\left(x^{2} + 1\right)^{2}}\right) \cos^{46}{\left(2 x \right)}$$