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:
-
Derivada de x^4/3-x
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Derivada de x^-4/5
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Derivada de x=1
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Derivada de x^2*2^x
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Expresiones idénticas
- y=arcsin(√x- dos)/√5x
- y es igual a arc seno de (√x menos 2) dividir por √5x
- y es igual a arc seno de (√x menos dos) dividir por √5x
- y=arcsin√x-2/√5x
- y=arcsin(√x-2) dividir por √5x
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Expresiones semejantes
- y=arcsin(√x+2)/√5x
Derivada de y=arcsin(√x-2)/√5x
Solución
Ha introducido
[src]
/ ___ \
asin\\/ x - 2/
---------------
_____
\/ 5*x
$$\frac{\operatorname{asin}{\left(\sqrt{x} - 2 \right)}}{\sqrt{5 x}}$$
asin(sqrt(x) - 2)/sqrt(5*x)
Primera derivada
[src]
/ ___ \
| \/ 5 |
|-------|
| ___| ___ / ___ \
\5*\/ x / \/ 5 *asin\\/ x - 2/
------------------------------ - ---------------------
__________________ 3/2
/ 2 10*x
___ / / ___ \
2*\/ x *\/ 1 - \\/ x - 2/
$$\frac{\frac{1}{5} \sqrt{5} \frac{1}{\sqrt{x}}}{2 \sqrt{x} \sqrt{1 - \left(\sqrt{x} - 2\right)^{2}}} - \frac{\sqrt{5} \operatorname{asin}{\left(\sqrt{x} - 2 \right)}}{10 x^{\frac{3}{2}}}$$
Segunda derivada
[src]
/ ___ \
| 1 -2 + \/ x |
| ---- + ----------------------|
| 3/2 / 2\|
| / ___\ x | / ___\ ||
___ | 2 3*asin\-2 + \/ x / x*\-1 + \-2 + \/ x / /|
\/ 5 *|- -------------------------- + ------------------ - -----------------------------|
| ___________________ 5/2 ___________________|
| / 2 x / 2 |
| 2 / / ___\ ___ / / ___\ |
\ x *\/ 1 - \-2 + \/ x / \/ x *\/ 1 - \-2 + \/ x / /
-----------------------------------------------------------------------------------------
20
$$\frac{\sqrt{5} \left(- \frac{2}{x^{2} \sqrt{1 - \left(\sqrt{x} - 2\right)^{2}}} - \frac{\frac{\sqrt{x} - 2}{x \left(\left(\sqrt{x} - 2\right)^{2} - 1\right)} + \frac{1}{x^{\frac{3}{2}}}}{\sqrt{x} \sqrt{1 - \left(\sqrt{x} - 2\right)^{2}}} + \frac{3 \operatorname{asin}{\left(\sqrt{x} - 2 \right)}}{x^{\frac{5}{2}}}\right)}{20}$$
Tercera derivada
[src]
/ 2 \
| / ___\ / ___\ |
| 3 1 3*\-2 + \/ x / 3*\-2 + \/ x / / ___ \|
| ---- - ------------------------- + ----------------------- + -------------------------- | 1 -2 + \/ x ||
| 5/2 / 2\ / 2\ 2 3*|---- + ----------------------||
| x 3/2 | / ___\ | 2 | / ___\ | / 2\ | 3/2 / 2\||
| / ___\ x *\-1 + \-2 + \/ x / / x *\-1 + \-2 + \/ x / / 3/2 | / ___\ | |x | / ___\ |||
___ | 15*asin\-2 + \/ x / 9 x *\-1 + \-2 + \/ x / / \ x*\-1 + \-2 + \/ x / //|
\/ 5 *|- ------------------- + -------------------------- + --------------------------------------------------------------------------------------- + ---------------------------------|
| 7/2 ___________________ ___________________ ___________________ |
| x / 2 / 2 / 2 |
| 3 / / ___\ ___ / / ___\ 3/2 / / ___\ |
\ x *\/ 1 - \-2 + \/ x / \/ x *\/ 1 - \-2 + \/ x / x *\/ 1 - \-2 + \/ x / /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
40
$$\frac{\sqrt{5} \left(\frac{9}{x^{3} \sqrt{1 - \left(\sqrt{x} - 2\right)^{2}}} + \frac{\frac{3 \left(\sqrt{x} - 2\right)}{x^{2} \left(\left(\sqrt{x} - 2\right)^{2} - 1\right)} + \frac{3 \left(\sqrt{x} - 2\right)^{2}}{x^{\frac{3}{2}} \left(\left(\sqrt{x} - 2\right)^{2} - 1\right)^{2}} - \frac{1}{x^{\frac{3}{2}} \left(\left(\sqrt{x} - 2\right)^{2} - 1\right)} + \frac{3}{x^{\frac{5}{2}}}}{\sqrt{x} \sqrt{1 - \left(\sqrt{x} - 2\right)^{2}}} + \frac{3 \left(\frac{\sqrt{x} - 2}{x \left(\left(\sqrt{x} - 2\right)^{2} - 1\right)} + \frac{1}{x^{\frac{3}{2}}}\right)}{x^{\frac{3}{2}} \sqrt{1 - \left(\sqrt{x} - 2\right)^{2}}} - \frac{15 \operatorname{asin}{\left(\sqrt{x} - 2 \right)}}{x^{\frac{7}{2}}}\right)}{40}$$
3-я производная
[src]
/ 2 \
| / ___\ / ___\ |
| 3 1 3*\-2 + \/ x / 3*\-2 + \/ x / / ___ \|
| ---- - ------------------------- + ----------------------- + -------------------------- | 1 -2 + \/ x ||
| 5/2 / 2\ / 2\ 2 3*|---- + ----------------------||
| x 3/2 | / ___\ | 2 | / ___\ | / 2\ | 3/2 / 2\||
| / ___\ x *\-1 + \-2 + \/ x / / x *\-1 + \-2 + \/ x / / 3/2 | / ___\ | |x | / ___\ |||
___ | 15*asin\-2 + \/ x / 9 x *\-1 + \-2 + \/ x / / \ x*\-1 + \-2 + \/ x / //|
\/ 5 *|- ------------------- + -------------------------- + --------------------------------------------------------------------------------------- + ---------------------------------|
| 7/2 ___________________ ___________________ ___________________ |
| x / 2 / 2 / 2 |
| 3 / / ___\ ___ / / ___\ 3/2 / / ___\ |
\ x *\/ 1 - \-2 + \/ x / \/ x *\/ 1 - \-2 + \/ x / x *\/ 1 - \-2 + \/ x / /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
40
$$\frac{\sqrt{5} \left(\frac{9}{x^{3} \sqrt{1 - \left(\sqrt{x} - 2\right)^{2}}} + \frac{\frac{3 \left(\sqrt{x} - 2\right)}{x^{2} \left(\left(\sqrt{x} - 2\right)^{2} - 1\right)} + \frac{3 \left(\sqrt{x} - 2\right)^{2}}{x^{\frac{3}{2}} \left(\left(\sqrt{x} - 2\right)^{2} - 1\right)^{2}} - \frac{1}{x^{\frac{3}{2}} \left(\left(\sqrt{x} - 2\right)^{2} - 1\right)} + \frac{3}{x^{\frac{5}{2}}}}{\sqrt{x} \sqrt{1 - \left(\sqrt{x} - 2\right)^{2}}} + \frac{3 \left(\frac{\sqrt{x} - 2}{x \left(\left(\sqrt{x} - 2\right)^{2} - 1\right)} + \frac{1}{x^{\frac{3}{2}}}\right)}{x^{\frac{3}{2}} \sqrt{1 - \left(\sqrt{x} - 2\right)^{2}}} - \frac{15 \operatorname{asin}{\left(\sqrt{x} - 2 \right)}}{x^{\frac{7}{2}}}\right)}{40}$$
Gráfico