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 (x^3)/3
-
Derivada de sqrt(x^2+1)
-
Derivada de cos(x)^2
-
Derivada de sin(x)/cos(x)
-
Expresiones idénticas
- asin(x)/sqrt(uno -x^ dos)+tan(x)*cot((x- uno)/(x))
- ar coseno de eno de (x) dividir por raíz cuadrada de (1 menos x al cuadrado ) más tangente de (x) multiplicar por cotangente de ((x menos 1) dividir por (x))
- ar coseno de eno de (x) dividir por raíz cuadrada de (uno menos x en el grado dos) más tangente de (x) multiplicar por cotangente de ((x menos uno) dividir por (x))
- asin(x)/√(1-x^2)+tan(x)*cot((x-1)/(x))
- asin(x)/sqrt(1-x2)+tan(x)*cot((x-1)/(x))
- asinx/sqrt1-x2+tanx*cotx-1/x
- asin(x)/sqrt(1-x²)+tan(x)*cot((x-1)/(x))
- asin(x)/sqrt(1-x en el grado 2)+tan(x)*cot((x-1)/(x))
- asin(x)/sqrt(1-x^2)+tan(x)cot((x-1)/(x))
- asin(x)/sqrt(1-x2)+tan(x)cot((x-1)/(x))
- asinx/sqrt1-x2+tanxcotx-1/x
- asinx/sqrt1-x^2+tanxcotx-1/x
- asin(x) dividir por sqrt(1-x^2)+tan(x)*cot((x-1) dividir por (x))
-
Expresiones semejantes
- asin(x)/sqrt(1+x^2)+tan(x)*cot((x-1)/(x))
- asin(x)/sqrt(1-x^2)-tan(x)*cot((x-1)/(x))
- asin(x)/sqrt(1-x^2)+tan(x)*cot((x+1)/(x))
- arcsin(x)/sqrt(1-x^2)+tan(x)*cot((x-1)/(x))
- arcsinx/sqrt(1-x^2)+tan(x)*cot((x-1)/(x))
-
Expresiones con funciones
- Arcoseno arcsin
- asin(2*x)
- asin(x)^4
- asin(y^2)
- asin(2*x)^(3)
- asin(y)
- Raíz cuadrada sqrt
- sqrt(x^2+1)
- sqrt(x/2)
- sqrt
- sqrt(x-1)
- sqrt(x-1)/(sqrt(x^2-x)-1)
- Tangente tan
- tan(x)*sin(x)
- tan(2*x)^(2)
- tan(4*x-5)
- tan(x)/(x+2)
- tanxsecx
- Cotangente cot
- cot(x)*cos(x)
- coth(x)/tanh(x)
- cotx
- cot(x/2)
- cot(x)^(2)
Derivada de asin(x)/sqrt(1-x^2)+tan(x)*cot((x-1)/(x))
Solución
Ha introducido
[src]
asin(x) /x - 1\ ----------- + tan(x)*cot|-----| ________ \ x / / 2 \/ 1 - x
$$\tan{\left(x \right)} \cot{\left(\frac{x - 1}{x} \right)} + \frac{\operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}$$
asin(x)/sqrt(1 - x^2) + tan(x)*cot((x - 1)/x)
Primera derivada
[src]
1 / 2 \ /x - 1\ x*asin(x) / 2/x - 1\\ /1 x - 1\ ----------------------- + \1 + tan (x)/*cot|-----| + ----------- + |-1 - cot |-----||*|- - -----|*tan(x) ________ ________ \ x / 3/2 \ \ x // |x 2 | / 2 / 2 / 2\ \ x / \/ 1 - x *\/ 1 - x \1 - x /
$$\frac{x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \left(\frac{1}{x} - \frac{x - 1}{x^{2}}\right) \left(- \cot^{2}{\left(\frac{x - 1}{x} \right)} - 1\right) \tan{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \cot{\left(\frac{x - 1}{x} \right)} + \frac{1}{\sqrt{1 - x^{2}} \sqrt{1 - x^{2}}}$$
Segunda derivada
[src]
2
/ 2/-1 + x\\ / 2 \ / -1 + x\ / 2/-1 + x\\ / -1 + x\ / -1 + x\ / 2/-1 + x\\ /-1 + x\
2 2*|1 + cot |------||*\1 + tan (x)/*|1 - ------| 2*|1 + cot |------||*|1 - ------|*tan(x) 2*|1 - ------| *|1 + cot |------||*cot|------|*tan(x)
asin(x) 3*x / 2 \ /-1 + x\ 3*x *asin(x) \ \ x // \ x / \ \ x // \ x / \ x / \ \ x // \ x /
----------- + ---------- + 2*\1 + tan (x)/*cot|------|*tan(x) + ------------ - ----------------------------------------------- + ---------------------------------------- + -----------------------------------------------------
3/2 2 \ x / 5/2 x 2 2
/ 2\ / 2\ / 2\ x x
\1 - x / \-1 + x / \1 - x /
$$\frac{3 x^{2} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{3 x}{\left(x^{2} - 1\right)^{2}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \cot{\left(\frac{x - 1}{x} \right)} + \frac{\operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{2 \left(1 - \frac{x - 1}{x}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \left(\cot^{2}{\left(\frac{x - 1}{x} \right)} + 1\right)}{x} + \frac{2 \left(1 - \frac{x - 1}{x}\right)^{2} \left(\cot^{2}{\left(\frac{x - 1}{x} \right)} + 1\right) \tan{\left(x \right)} \cot{\left(\frac{x - 1}{x} \right)}}{x^{2}} + \frac{2 \left(1 - \frac{x - 1}{x}\right) \left(\cot^{2}{\left(\frac{x - 1}{x} \right)} + 1\right) \tan{\left(x \right)}}{x^{2}}$$
Tercera derivada
[src]
2 3 2 3 2
/ 2/-1 + x\\ / -1 + x\ / 2/-1 + x\\ / -1 + x\ / 2/-1 + x\\ / 2 \ / -1 + x\ / -1 + x\ / 2/-1 + x\\ /-1 + x\ / 2/-1 + x\\ / 2 \ / -1 + x\ / -1 + x\ 2/-1 + x\ / 2/-1 + x\\ / -1 + x\ / 2/-1 + x\\ / 2 \ /-1 + x\
2 2 3 6*|1 + cot |------||*|1 - ------|*tan(x) 2*|1 + cot |------|| *|1 - ------| *tan(x) 6*|1 + cot |------||*\1 + tan (x)/*|1 - ------| 12*|1 - ------| *|1 + cot |------||*cot|------|*tan(x) 6*|1 + cot |------||*\1 + tan (x)/*|1 - ------|*tan(x) 4*|1 - ------| *cot |------|*|1 + cot |------||*tan(x) 6*|1 - ------| *|1 + cot |------||*\1 + tan (x)/*cot|------|
4 15*x / 2 \ /-1 + x\ 2 / 2 \ /-1 + x\ 9*x*asin(x) 15*x *asin(x) \ \ x // \ x / \ \ x // \ x / \ \ x // \ x / \ x / \ \ x // \ x / \ \ x // \ x / \ x / \ x / \ \ x // \ x / \ \ x // \ x /
---------- - ---------- + 2*\1 + tan (x)/ *cot|------| + 4*tan (x)*\1 + tan (x)/*cot|------| + ----------- + ------------- - ---------------------------------------- - ------------------------------------------ + ----------------------------------------------- - ------------------------------------------------------ - ------------------------------------------------------ - ------------------------------------------------------ + ------------------------------------------------------------
2 3 \ x / \ x / 5/2 7/2 3 3 2 3 x 3 2
/ 2\ / 2\ / 2\ / 2\ x x x x x x
\-1 + x / \-1 + x / \1 - x / \1 - x /
$$\frac{15 x^{3} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{7}{2}}} - \frac{15 x^{2}}{\left(x^{2} - 1\right)^{3}} + \frac{9 x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \cot{\left(\frac{x - 1}{x} \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} \cot{\left(\frac{x - 1}{x} \right)} + \frac{4}{\left(x^{2} - 1\right)^{2}} - \frac{6 \left(1 - \frac{x - 1}{x}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \left(\cot^{2}{\left(\frac{x - 1}{x} \right)} + 1\right) \tan{\left(x \right)}}{x} + \frac{6 \left(1 - \frac{x - 1}{x}\right)^{2} \left(\tan^{2}{\left(x \right)} + 1\right) \left(\cot^{2}{\left(\frac{x - 1}{x} \right)} + 1\right) \cot{\left(\frac{x - 1}{x} \right)}}{x^{2}} + \frac{6 \left(1 - \frac{x - 1}{x}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \left(\cot^{2}{\left(\frac{x - 1}{x} \right)} + 1\right)}{x^{2}} - \frac{2 \left(1 - \frac{x - 1}{x}\right)^{3} \left(\cot^{2}{\left(\frac{x - 1}{x} \right)} + 1\right)^{2} \tan{\left(x \right)}}{x^{3}} - \frac{4 \left(1 - \frac{x - 1}{x}\right)^{3} \left(\cot^{2}{\left(\frac{x - 1}{x} \right)} + 1\right) \tan{\left(x \right)} \cot^{2}{\left(\frac{x - 1}{x} \right)}}{x^{3}} - \frac{12 \left(1 - \frac{x - 1}{x}\right)^{2} \left(\cot^{2}{\left(\frac{x - 1}{x} \right)} + 1\right) \tan{\left(x \right)} \cot{\left(\frac{x - 1}{x} \right)}}{x^{3}} - \frac{6 \left(1 - \frac{x - 1}{x}\right) \left(\cot^{2}{\left(\frac{x - 1}{x} \right)} + 1\right) \tan{\left(x \right)}}{x^{3}}$$
Gráfico