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 6/x
-
Derivada de e^(x/2)
-
Derivada de (x-1)/(x+1)
-
Derivada de -3/x
-
Expresiones idénticas
- y=3ctgx/arcctgx
- y es igual a 3ctgx dividir por arcctgx
- y=3ctgx dividir por arcctgx
Derivada de y=3ctgx/arcctgx
Solución
Ha introducido
[src]
3*cot(x) -------- acot(x)
$$\frac{3 \cot{\left(x \right)}}{\operatorname{acot}{\left(x \right)}}$$
(3*cot(x))/acot(x)
Primera derivada
[src]
2
-3 - 3*cot (x) 3*cot(x)
-------------- + -----------------
acot(x) / 2\ 2
\1 + x /*acot (x)
$$\frac{- 3 \cot^{2}{\left(x \right)} - 3}{\operatorname{acot}{\left(x \right)}} + \frac{3 \cot{\left(x \right)}}{\left(x^{2} + 1\right) \operatorname{acot}^{2}{\left(x \right)}}$$
Segunda derivada
[src]
/ / 1 \ \
| 2 |x - -------|*cot(x)|
|/ 2 \ 1 + cot (x) \ acot(x)/ |
6*|\1 + cot (x)/*cot(x) - ---------------- - --------------------|
| / 2\ 2 |
| \1 + x /*acot(x) / 2\ |
\ \1 + x / *acot(x) /
------------------------------------------------------------------
acot(x)
$$\frac{6 \left(- \frac{\left(x - \frac{1}{\operatorname{acot}{\left(x \right)}}\right) \cot{\left(x \right)}}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}} + \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} - \frac{\cot^{2}{\left(x \right)} + 1}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}\right)}{\operatorname{acot}{\left(x \right)}}$$
Tercera derivada
[src]
/ / 2 \ \
| | 3 4*x 6*x | |
| |-1 + ----------------- + ------ - ----------------|*cot(x) / 2 \ / 1 \|
| | / 2\ 2 2 / 2\ | / 2 \ 3*\1 + cot (x)/*|x - -------||
| / 2 \ / 2 \ \ \1 + x /*acot (x) 1 + x \1 + x /*acot(x)/ 3*\1 + cot (x)/*cot(x) \ acot(x)/|
6*|- \1 + cot (x)/*\1 + 3*cot (x)/ + ----------------------------------------------------------- + ---------------------- + -----------------------------|
| 2 / 2\ 2 |
| / 2\ \1 + x /*acot(x) / 2\ |
\ \1 + x / *acot(x) \1 + x / *acot(x) /
----------------------------------------------------------------------------------------------------------------------------------------------------------
acot(x)
$$\frac{6 \left(\frac{3 \left(x - \frac{1}{\operatorname{acot}{\left(x \right)}}\right) \left(\cot^{2}{\left(x \right)} + 1\right)}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}} - \left(\cot^{2}{\left(x \right)} + 1\right) \left(3 \cot^{2}{\left(x \right)} + 1\right) + \frac{3 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} + \frac{\left(\frac{4 x^{2}}{x^{2} + 1} - \frac{6 x}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} - 1 + \frac{3}{\left(x^{2} + 1\right) \operatorname{acot}^{2}{\left(x \right)}}\right) \cot{\left(x \right)}}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}}\right)}{\operatorname{acot}{\left(x \right)}}$$
Gráfico