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:
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Derivada de (3x+6)^2
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Derivada de (1+cos(x))/(1-cos(x))
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Derivada de (2*x-9)/(x-5)
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Derivada de -2*x^-2+1
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Expresiones idénticas
- y=arccos((uno -sqrt(x))/(uno +sqrt(x))^ dos)
- y es igual a arc coseno de ((1 menos raíz cuadrada de (x)) dividir por (1 más raíz cuadrada de (x)) al cuadrado )
- y es igual a arc coseno de ((uno menos raíz cuadrada de (x)) dividir por (uno más raíz cuadrada de (x)) en el grado dos)
- y=arccos((1-√(x))/(1+√(x))^2)
- y=arccos((1-sqrt(x))/(1+sqrt(x))2)
- y=arccos1-sqrtx/1+sqrtx2
- y=arccos((1-sqrt(x))/(1+sqrt(x))²)
- y=arccos((1-sqrt(x))/(1+sqrt(x)) en el grado 2)
- y=arccos1-sqrtx/1+sqrtx^2
- y=arccos((1-sqrt(x)) dividir por (1+sqrt(x))^2)
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Expresiones semejantes
- y=arccos((1+sqrt(x))/(1+sqrt(x))^2)
- y=arccos((1-sqrt(x))/(1-sqrt(x))^2)
Derivada de y=arccos((1-sqrt(x))/(1+sqrt(x))^2)
Solución
Ha introducido
[src]
/ ___ \
| 1 - \/ x |
acos|------------|
| 2|
|/ ___\ |
\\1 + \/ x / /
$$\operatorname{acos}{\left(\frac{1 - \sqrt{x}}{\left(\sqrt{x} + 1\right)^{2}} \right)}$$
acos((1 - sqrt(x))/(1 + sqrt(x))^2)
Primera derivada
[src]
/ ___ \
| 1 1 - \/ x |
-|- -------------------- - ------------------|
| 2 3|
| ___ / ___\ ___ / ___\ |
\ 2*\/ x *\1 + \/ x / \/ x *\1 + \/ x / /
-----------------------------------------------
__________________
/ 2
/ / ___\
/ \1 - \/ x /
/ 1 - ------------
/ 4
/ / ___\
\/ \1 + \/ x /
$$- \frac{- \frac{1 - \sqrt{x}}{\sqrt{x} \left(\sqrt{x} + 1\right)^{3}} - \frac{1}{2 \sqrt{x} \left(\sqrt{x} + 1\right)^{2}}}{\sqrt{- \frac{\left(1 - \sqrt{x}\right)^{2}}{\left(\sqrt{x} + 1\right)^{4}} + 1}}$$
Segunda derivada
[src]
2
/ / ___\\
| 2*\-1 + \/ x /| / ___\
|-1 + --------------| *\-1 + \/ x /
___ / ___\ | ___ |
1 1 -1 + \/ x 3*\-1 + \/ x / \ 1 + \/ x /
- ------ - ------------- + ------------------ + ---------------- + -----------------------------------
3/2 / ___\ 3/2 / ___\ 2 / 2\
4*x x*\1 + \/ x / 2*x *\1 + \/ x / / ___\ 4 | / ___\ |
2*x*\1 + \/ x / / ___\ | \1 - \/ x / |
4*x*\1 + \/ x / *|1 - ------------|
| 4|
| / ___\ |
\ \1 + \/ x / /
------------------------------------------------------------------------------------------------------
__________________
/ 2
2 / / ___\
/ ___\ / \1 - \/ x /
\1 + \/ x / * / 1 - ------------
/ 4
/ / ___\
\/ \1 + \/ x /
$$\frac{\frac{3 \left(\sqrt{x} - 1\right)}{2 x \left(\sqrt{x} + 1\right)^{2}} + \frac{\left(\sqrt{x} - 1\right) \left(\frac{2 \left(\sqrt{x} - 1\right)}{\sqrt{x} + 1} - 1\right)^{2}}{4 x \left(\sqrt{x} + 1\right)^{4} \left(- \frac{\left(1 - \sqrt{x}\right)^{2}}{\left(\sqrt{x} + 1\right)^{4}} + 1\right)} - \frac{1}{x \left(\sqrt{x} + 1\right)} + \frac{\sqrt{x} - 1}{2 x^{\frac{3}{2}} \left(\sqrt{x} + 1\right)} - \frac{1}{4 x^{\frac{3}{2}}}}{\left(\sqrt{x} + 1\right)^{2} \sqrt{- \frac{\left(1 - \sqrt{x}\right)^{2}}{\left(\sqrt{x} + 1\right)^{4}} + 1}}$$
Tercera derivada
[src]
/ / 2 2\ \
| / / ___\\ | ___ / ___\ / ___\ / ___\ | 3 / / ___\\ / / ___\ / ___\\|
| | 2*\-1 + \/ x /| |1 -1 + \/ x 8*\-1 + \/ x / 2*\-1 + \/ x / 10*\-1 + \/ x / | 2 / / ___\\ / ___\ | 2*\-1 + \/ x /| | 1 4 2*\-1 + \/ x / 6*\-1 + \/ x /||
| |-1 + --------------|*|- - ---------- - -------------- + ---------------- + ----------------| / ___\ | 2*\-1 + \/ x /| \-1 + \/ x /*|-1 + --------------|*|- ---- - ------------- + ---------------- + --------------||
| | ___ | |x 3/2 / ___\ 3/2 / ___\ 2 | 3*\-1 + \/ x / *|-1 + --------------| | ___ | | 3/2 / ___\ 3/2 / ___\ 2||
| / ___\ / ___\ / ___\ \ 1 + \/ x / | x x*\1 + \/ x / x *\1 + \/ x / / ___\ | | ___ | \ 1 + \/ x / | x x*\1 + \/ x / x *\1 + \/ x / / ___\ ||
| 3 9 3 3*\-1 + \/ x / 3*\-1 + \/ x / 9*\-1 + \/ x / \ x*\1 + \/ x / / \ 1 + \/ x / \ x*\1 + \/ x / /|
-|- ------ - ------------------- - ---------------- + ----------------- + ------------------ + ----------------- + --------------------------------------------------------------------------------------------- + --------------------------------------- + -----------------------------------------------------------------------------------------------|
| 5/2 2 2 / ___\ 3 5/2 / ___\ 2 / 2\ 2 / 2\ |
| 8*x 3/2 / ___\ 2*x *\1 + \/ x / 3/2 / ___\ 4*x *\1 + \/ x / 2 / ___\ 4 | / ___\ | / 2\ 4 | / ___\ | |
| 4*x *\1 + \/ x / x *\1 + \/ x / 4*x *\1 + \/ x / ___ / ___\ | \1 - \/ x / | 8 | / ___\ | ___ / ___\ | \1 - \/ x / | |
| 8*\/ x *\1 + \/ x / *|1 - ------------| 3/2 / ___\ | \1 - \/ x / | 4*\/ x *\1 + \/ x / *|1 - ------------| |
| | 4| 8*x *\1 + \/ x / *|1 - ------------| | 4| |
| | / ___\ | | 4| | / ___\ | |
| \ \1 + \/ x / / | / ___\ | \ \1 + \/ x / / |
\ \ \1 + \/ x / / /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
__________________
/ 2
2 / / ___\
/ ___\ / \1 - \/ x /
\1 + \/ x / * / 1 - ------------
/ 4
/ / ___\
\/ \1 + \/ x /
$$- \frac{\frac{9 \left(\sqrt{x} - 1\right)}{4 x^{2} \left(\sqrt{x} + 1\right)^{2}} - \frac{3}{2 x^{2} \left(\sqrt{x} + 1\right)} + \frac{\left(\sqrt{x} - 1\right) \left(\frac{2 \left(\sqrt{x} - 1\right)}{\sqrt{x} + 1} - 1\right) \left(\frac{6 \left(\sqrt{x} - 1\right)}{x \left(\sqrt{x} + 1\right)^{2}} - \frac{4}{x \left(\sqrt{x} + 1\right)} + \frac{2 \left(\sqrt{x} - 1\right)}{x^{\frac{3}{2}} \left(\sqrt{x} + 1\right)} - \frac{1}{x^{\frac{3}{2}}}\right)}{4 \sqrt{x} \left(\sqrt{x} + 1\right)^{4} \left(- \frac{\left(1 - \sqrt{x}\right)^{2}}{\left(\sqrt{x} + 1\right)^{4}} + 1\right)} + \frac{\left(\frac{2 \left(\sqrt{x} - 1\right)}{\sqrt{x} + 1} - 1\right) \left(\frac{10 \left(\sqrt{x} - 1\right)^{2}}{x \left(\sqrt{x} + 1\right)^{2}} - \frac{8 \left(\sqrt{x} - 1\right)}{x \left(\sqrt{x} + 1\right)} + \frac{1}{x} + \frac{2 \left(\sqrt{x} - 1\right)^{2}}{x^{\frac{3}{2}} \left(\sqrt{x} + 1\right)} - \frac{\sqrt{x} - 1}{x^{\frac{3}{2}}}\right)}{8 \sqrt{x} \left(\sqrt{x} + 1\right)^{4} \left(- \frac{\left(1 - \sqrt{x}\right)^{2}}{\left(\sqrt{x} + 1\right)^{4}} + 1\right)} + \frac{3 \left(\sqrt{x} - 1\right)^{2} \left(\frac{2 \left(\sqrt{x} - 1\right)}{\sqrt{x} + 1} - 1\right)^{3}}{8 x^{\frac{3}{2}} \left(\sqrt{x} + 1\right)^{8} \left(- \frac{\left(1 - \sqrt{x}\right)^{2}}{\left(\sqrt{x} + 1\right)^{4}} + 1\right)^{2}} + \frac{3 \left(\sqrt{x} - 1\right)}{x^{\frac{3}{2}} \left(\sqrt{x} + 1\right)^{3}} - \frac{9}{4 x^{\frac{3}{2}} \left(\sqrt{x} + 1\right)^{2}} + \frac{3 \left(\sqrt{x} - 1\right)}{4 x^{\frac{5}{2}} \left(\sqrt{x} + 1\right)} - \frac{3}{8 x^{\frac{5}{2}}}}{\left(\sqrt{x} + 1\right)^{2} \sqrt{- \frac{\left(1 - \sqrt{x}\right)^{2}}{\left(\sqrt{x} + 1\right)^{4}} + 1}}$$
Gráfico