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
-
¿Cómo usar?
- Derivada de:
-
Derivada de 2*cos(3*x)
-
Derivada de x^(7/6)
-
Derivada de (x^2)/4
-
Derivada de t
-
Expresiones idénticas
- y=(dos +x^ dos)^ctgx^ dos
- y es igual a (2 más x al cuadrado ) en el grado ctgx al cuadrado
- y es igual a (dos más x en el grado dos) en el grado ctgx en el grado dos
- y=(2+x2)ctgx2
- y=2+x2ctgx2
- y=(2+x²)^ctgx²
- y=(2+x en el grado 2) en el grado ctgx en el grado 2
- y=2+x^2^ctgx^2
-
Expresiones semejantes
- y=(2-x^2)^ctgx^2
Derivada de y=(2+x^2)^ctgx^2
Solución
Ha introducido
[src]
2
cot (x)
/ 2\
\2 + x /
$$\left(x^{2} + 2\right)^{\cot^{2}{\left(x \right)}}$$
(2 + x^2)^(cot(x)^2)
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
2
cot (x) / 2 \
/ 2\ |/ 2 \ / 2\ 2*x*cot (x)|
\2 + x / *|\-2 - 2*cot (x)/*cot(x)*log\2 + x / + -----------|
| 2 |
\ 2 + x /
$$\left(x^{2} + 2\right)^{\cot^{2}{\left(x \right)}} \left(\frac{2 x \cot^{2}{\left(x \right)}}{x^{2} + 2} + \left(- 2 \cot^{2}{\left(x \right)} - 2\right) \log{\left(x^{2} + 2 \right)} \cot{\left(x \right)}\right)$$
Segunda derivada
[src]
2
cot (x) / 2 2 2 2 2 / 2 \ \
/ 2\ |/ 2 \ / 2\ cot (x) / / 2 \ / 2\ x*cot(x)\ 2 2*x *cot (x) 2 / 2 \ / 2\ 4*x*\1 + cot (x)/*cot(x)|
2*\2 + x / *|\1 + cot (x)/ *log\2 + x / + ------- + 2*|- \1 + cot (x)/*log\2 + x / + --------| *cot (x) - ------------ + 2*cot (x)*\1 + cot (x)/*log\2 + x / - ------------------------|
| 2 | 2 | 2 2 |
| 2 + x \ 2 + x / / 2\ 2 + x |
\ \2 + x / /
$$2 \left(x^{2} + 2\right)^{\cot^{2}{\left(x \right)}} \left(- \frac{2 x^{2} \cot^{2}{\left(x \right)}}{\left(x^{2} + 2\right)^{2}} - \frac{4 x \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}}{x^{2} + 2} + 2 \left(\frac{x \cot{\left(x \right)}}{x^{2} + 2} - \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} + 2 \right)}\right)^{2} \cot^{2}{\left(x \right)} + \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x^{2} + 2 \right)} + 2 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} + 2 \right)} \cot^{2}{\left(x \right)} + \frac{\cot^{2}{\left(x \right)}}{x^{2} + 2}\right)$$
Tercera derivada
[src]
2 / 2 \
cot (x) | 3 2 2 / 2 \ / 2 \ / 2 2 2 2 / 2 \ \ 3 2 2 / 2 \ 2 / 2 \ |
/ 2\ | / / 2 \ / 2\ x*cot(x)\ 3 / 2 \ / 2\ 3*x*cot (x) 3*\1 + cot (x)/*cot(x) 3 / 2 \ / 2\ 3*x*\1 + cot (x)/ / / 2 \ / 2\ x*cot(x)\ |/ 2 \ / 2\ cot (x) 2*x *cot (x) 2 / 2 \ / 2\ 4*x*\1 + cot (x)/*cot(x)| 4*x *cot (x) 6*x*cot (x)*\1 + cot (x)/ 6*x *\1 + cot (x)/*cot(x)|
4*\2 + x / *|2*|- \1 + cot (x)/*log\2 + x / + --------| *cot (x) - 4*\1 + cot (x)/ *cot(x)*log\2 + x / - ----------- - ---------------------- - 2*cot (x)*\1 + cot (x)/*log\2 + x / + ------------------ + 3*|- \1 + cot (x)/*log\2 + x / + --------|*|\1 + cot (x)/ *log\2 + x / + ------- - ------------ + 2*cot (x)*\1 + cot (x)/*log\2 + x / - ------------------------|*cot(x) + ------------ + ------------------------- + -------------------------|
| | 2 | 2 2 2 | 2 | | 2 2 2 | 3 2 2 |
| \ 2 + x / / 2\ 2 + x 2 + x \ 2 + x / | 2 + x / 2\ 2 + x | / 2\ 2 + x / 2\ |
\ \2 + x / \ \2 + x / / \2 + x / \2 + x / /
$$4 \left(x^{2} + 2\right)^{\cot^{2}{\left(x \right)}} \left(\frac{4 x^{3} \cot^{2}{\left(x \right)}}{\left(x^{2} + 2\right)^{3}} + \frac{6 x^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}}{\left(x^{2} + 2\right)^{2}} + \frac{3 x \left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{x^{2} + 2} + \frac{6 x \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)}}{x^{2} + 2} - \frac{3 x \cot^{2}{\left(x \right)}}{\left(x^{2} + 2\right)^{2}} + 2 \left(\frac{x \cot{\left(x \right)}}{x^{2} + 2} - \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} + 2 \right)}\right)^{3} \cot^{3}{\left(x \right)} + 3 \left(\frac{x \cot{\left(x \right)}}{x^{2} + 2} - \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} + 2 \right)}\right) \left(- \frac{2 x^{2} \cot^{2}{\left(x \right)}}{\left(x^{2} + 2\right)^{2}} - \frac{4 x \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}}{x^{2} + 2} + \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x^{2} + 2 \right)} + 2 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} + 2 \right)} \cot^{2}{\left(x \right)} + \frac{\cot^{2}{\left(x \right)}}{x^{2} + 2}\right) \cot{\left(x \right)} - 4 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x^{2} + 2 \right)} \cot{\left(x \right)} - 2 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} + 2 \right)} \cot^{3}{\left(x \right)} - \frac{3 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}}{x^{2} + 2}\right)$$