Sr Examen

Otras calculadoras

x×exp(arcsin(1/1-x))
Derivada de la función/ 1/1-x/ arcsin/ x×exp(arcsin(1/1-x))

Derivada de x×exp(arcsin(1/1-x))

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   asin(1 - x)
x*e
xeasin⁡(1−x)x e^{\operatorname{asin}{\left(1 - x \right)}} 
x*exp(asin(1 - x))
Gráfica
02468-8-6-4-2-10105-5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
       asin(1 - x)                
    x*e                asin(1 - x)
- ----------------- + e           
     ______________               
    /            2                
  \/  1 - (1 - x)
−xeasin⁡(1−x)1−(1−x)2+easin⁡(1−x)- \frac{x e^{\operatorname{asin}{\left(1 - x \right)}}}{\sqrt{1 - \left(1 - x\right)^{2}}} + e^{\operatorname{asin}{\left(1 - x \right)}}
Simplificar
Segunda derivada [src] 
 /        2             /      1                -1 + x     \\  -asin(-1 + x)
-|----------------- + x*|-------------- + -----------------||*e             
 |   ______________     |             2                 3/2||               
 |  /            2      |-1 + (-1 + x)    /           2\   ||               
 \\/  1 - (1 - x)       \                 \1 - (1 - x) /   //
−(x(1(x−1)2−1+x−1(1−(1−x)2)32)+21−(1−x)2)e−asin⁡(x−1)- \left(x \left(\frac{1}{\left(x - 1\right)^{2} - 1} + \frac{x - 1}{\left(1 - \left(1 - x\right)^{2}\right)^{\frac{3}{2}}}\right) + \frac{2}{\sqrt{1 - \left(1 - x\right)^{2}}}\right) e^{- \operatorname{asin}{\left(x - 1 \right)}}
Simplificar
Tercera derivada [src] 
 /                   /                                                     2   \                    \               
 |      3            |        2               3*(-1 + x)         3*(-1 + x)    |       3*(-1 + x)   |  -asin(-1 + x)
-|-------------- + x*|----------------- - ----------------- + -----------------| + -----------------|*e             
 |             2     |              3/2                   2                 5/2|                 3/2|               
 |-1 + (-1 + x)      |/           2\      /             2\    /           2\   |   /           2\   |               
 \                   \\1 - (1 - x) /      \-1 + (-1 + x) /    \1 - (1 - x) /   /   \1 - (1 - x) /   /
−(x(−3(x−1)((x−1)2−1)2+2(1−(1−x)2)32+3(x−1)2(1−(1−x)2)52)+3(x−1)2−1+3(x−1)(1−(1−x)2)32)e−asin⁡(x−1)- \left(x \left(- \frac{3 \left(x - 1\right)}{\left(\left(x - 1\right)^{2} - 1\right)^{2}} + \frac{2}{\left(1 - \left(1 - x\right)^{2}\right)^{\frac{3}{2}}} + \frac{3 \left(x - 1\right)^{2}}{\left(1 - \left(1 - x\right)^{2}\right)^{\frac{5}{2}}}\right) + \frac{3}{\left(x - 1\right)^{2} - 1} + \frac{3 \left(x - 1\right)}{\left(1 - \left(1 - x\right)^{2}\right)^{\frac{3}{2}}}\right) e^{- \operatorname{asin}{\left(x - 1 \right)}}
Simplificar
Gráfico
Derivada de x×exp(arcsin(1/1-x))
    © Sr Examen – Калькулятор