Sr Examen

Otras calculadoras

е^sqrt(x)*arcsin(sqrt(x))
Derivada de la función/ arcsin/ sqrt(x)/ arcsin(sqrt(x))/ е^sqrt(x)*arcsin(sqrt(x))

Derivada de е^sqrt(x)*arcsin(sqrt(x))

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   ___            
 \/ x      /  ___\
E     *asin\\/ x /
exasin⁡(x)e^{\sqrt{x}} \operatorname{asin}{\left(\sqrt{x} \right)} 
E^(sqrt(x))*asin(sqrt(x))
Gráfica
02468-8-6-4-2-1010010
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
         ___                       ___
       \/ x             /  ___\  \/ x 
      e             asin\\/ x /*e     
----------------- + ------------------
    ___   _______            ___      
2*\/ x *\/ 1 - x         2*\/ x
exasin⁡(x)2x+ex2x1−x\frac{e^{\sqrt{x}} \operatorname{asin}{\left(\sqrt{x} \right)}}{2 \sqrt{x}} + \frac{e^{\sqrt{x}}}{2 \sqrt{x} \sqrt{1 - x}}
Simplificar
Segunda derivada [src] 
/                                          1     1     \       
|                                          - + ------  |    ___
|/1    1  \     /  ___\        2           x   -1 + x  |  \/ x 
||- - ----|*asin\\/ x / + ----------- - ---------------|*e     
||x    3/2|                   _______     ___   _______|       
\\    x   /               x*\/ 1 - x    \/ x *\/ 1 - x /       
---------------------------------------------------------------
                               4
((1x−1x32)asin⁡(x)+2x1−x−1x−1+1xx1−x)ex4\frac{\left(\left(\frac{1}{x} - \frac{1}{x^{\frac{3}{2}}}\right) \operatorname{asin}{\left(\sqrt{x} \right)} + \frac{2}{x \sqrt{1 - x}} - \frac{\frac{1}{x - 1} + \frac{1}{x}}{\sqrt{x} \sqrt{1 - x}}\right) e^{\sqrt{x}}}{4}
Simplificar
Tercera derivada [src] 
/                                 3        3           2                             /1    1  \ \       
|                                 -- + --------- + ----------     /1     1   \     3*|- - ----| |       
|                                  2           2   x*(-1 + x)   3*|- + ------|       |x    3/2| |    ___
|/ 1     3     3  \     /  ___\   x    (-1 + x)                   \x   -1 + x/       \    x   / |  \/ x 
||---- - -- + ----|*asin\\/ x / + --------------------------- - -------------- + ---------------|*e     
|| 3/2    2    5/2|                       ___   _______              _______       ___   _______|       
\\x      x    x   /                     \/ x *\/ 1 - x           x*\/ 1 - x      \/ x *\/ 1 - x /       
--------------------------------------------------------------------------------------------------------
                                                   8
((−3x2+1x32+3x52)asin⁡(x)−3(1x−1+1x)x1−x+3(1x−1x32)x1−x+3(x−1)2+2x(x−1)+3x2x1−x)ex8\frac{\left(\left(- \frac{3}{x^{2}} + \frac{1}{x^{\frac{3}{2}}} + \frac{3}{x^{\frac{5}{2}}}\right) \operatorname{asin}{\left(\sqrt{x} \right)} - \frac{3 \left(\frac{1}{x - 1} + \frac{1}{x}\right)}{x \sqrt{1 - x}} + \frac{3 \left(\frac{1}{x} - \frac{1}{x^{\frac{3}{2}}}\right)}{\sqrt{x} \sqrt{1 - x}} + \frac{\frac{3}{\left(x - 1\right)^{2}} + \frac{2}{x \left(x - 1\right)} + \frac{3}{x^{2}}}{\sqrt{x} \sqrt{1 - x}}\right) e^{\sqrt{x}}}{8}
Simplificar
Gráfico
Derivada de е^sqrt(x)*arcsin(sqrt(x))
    © Sr Examen – Калькулятор