Sr Examen

Otras calculadoras

y=6x:(arcsin(sqrt1-3x))
Derivada de la función/ arcsin/ y=6x:(arcsin(sqrt1-3x))

Derivada de y=6x:(arcsin(sqrt1-3x))

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
       6*x       
-----------------
    /  ___      \
asin\\/ 1  - 3*x/
6xasin⁡(−3x+1)\frac{6 x}{\operatorname{asin}{\left(- 3 x + \sqrt{1} \right)}} 
(6*x)/asin(sqrt(1) - 3*x)
Gráfica
02468-8-6-4-2-1010-10001000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
        6                               18*x                   
----------------- + -------------------------------------------
    /  ___      \       ____________________                   
asin\\/ 1  - 3*x/      /                  2                    
                      /      /  ___      \       2/  ___      \
                    \/   1 - \\/ 1  - 3*x/  *asin \\/ 1  - 3*x/
18x1−(−3x+1)2asin⁡2(−3x+1)+6asin⁡(−3x+1)\frac{18 x}{\sqrt{1 - \left(- 3 x + \sqrt{1}\right)^{2}} \operatorname{asin}^{2}{\left(- 3 x + \sqrt{1} \right)}} + \frac{6}{\operatorname{asin}{\left(- 3 x + \sqrt{1} \right)}}
Simplificar
Segunda derivada [src] 
   /         2                /      -1 + 3*x                        2                \\
18*|------------------- + 3*x*|------------------- + ---------------------------------||
   |   ________________       |                3/2   /               2\               ||
   |  /              2        |/             2\      \-1 + (-1 + 3*x) /*asin(-1 + 3*x)||
   \\/  1 - (1 - 3*x)         \\1 - (1 - 3*x) /                                       //
----------------------------------------------------------------------------------------
                                        2                                               
                                    asin (-1 + 3*x)
18(3x(2((3x−1)2−1)asin⁡(3x−1)+3x−1(1−(1−3x)2)32)+21−(1−3x)2)asin⁡2(3x−1)\frac{18 \left(3 x \left(\frac{2}{\left(\left(3 x - 1\right)^{2} - 1\right) \operatorname{asin}{\left(3 x - 1 \right)}} + \frac{3 x - 1}{\left(1 - \left(1 - 3 x\right)^{2}\right)^{\frac{3}{2}}}\right) + \frac{2}{\sqrt{1 - \left(1 - 3 x\right)^{2}}}\right)}{\operatorname{asin}^{2}{\left(3 x - 1 \right)}}
Simplificar
Tercera derivada [src] 
    /  /                                     2                                                                              \                                                          \
    |  |         1               3*(-1 + 3*x)                        6                               6*(-1 + 3*x)           |         -1 + 3*x                        2                |
162*|x*|------------------- + ------------------- + ----------------------------------- - ----------------------------------| + ------------------- + ---------------------------------|
    |  |                3/2                   5/2                   3/2                                     2               |                   3/2   /               2\               |
    |  |/             2\      /             2\      /             2\        2             /               2\                |   /             2\      \-1 + (-1 + 3*x) /*asin(-1 + 3*x)|
    \  \\1 - (1 - 3*x) /      \1 - (1 - 3*x) /      \1 - (1 - 3*x) /   *asin (-1 + 3*x)   \-1 + (-1 + 3*x) / *asin(-1 + 3*x)/   \1 - (1 - 3*x) /                                       /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                        2                                                                                               
                                                                                    asin (-1 + 3*x)
162(x(−6(3x−1)((3x−1)2−1)2asin⁡(3x−1)+1(1−(1−3x)2)32+6(1−(1−3x)2)32asin⁡2(3x−1)+3(3x−1)2(1−(1−3x)2)52)+2((3x−1)2−1)asin⁡(3x−1)+3x−1(1−(1−3x)2)32)asin⁡2(3x−1)\frac{162 \left(x \left(- \frac{6 \left(3 x - 1\right)}{\left(\left(3 x - 1\right)^{2} - 1\right)^{2} \operatorname{asin}{\left(3 x - 1 \right)}} + \frac{1}{\left(1 - \left(1 - 3 x\right)^{2}\right)^{\frac{3}{2}}} + \frac{6}{\left(1 - \left(1 - 3 x\right)^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(3 x - 1 \right)}} + \frac{3 \left(3 x - 1\right)^{2}}{\left(1 - \left(1 - 3 x\right)^{2}\right)^{\frac{5}{2}}}\right) + \frac{2}{\left(\left(3 x - 1\right)^{2} - 1\right) \operatorname{asin}{\left(3 x - 1 \right)}} + \frac{3 x - 1}{\left(1 - \left(1 - 3 x\right)^{2}\right)^{\frac{3}{2}}}\right)}{\operatorname{asin}^{2}{\left(3 x - 1 \right)}}
Simplificar
Gráfico
Derivada de y=6x:(arcsin(sqrt1-3x))
    © Sr Examen – Калькулятор