Sr Examen

Otras calculadoras

y=arcsin(x)×sin(8x+3)
Derivada de la función/ arcsin/ sin(x)/ y=arcsin(x)×sin(8x+3)

Derivada de y=arcsin(x)×sin(8x+3)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
asin(x)*sin(8*x + 3)
sin⁡(8x+3)asin⁡(x)\sin{\left(8 x + 3 \right)} \operatorname{asin}{\left(x \right)} 
asin(x)*sin(8*x + 3)
Gráfica
02468-8-6-4-2-1010-2020
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
sin(8*x + 3)                         
------------ + 8*asin(x)*cos(8*x + 3)
   ________                          
  /      2                           
\/  1 - x
8cos⁡(8x+3)asin⁡(x)+sin⁡(8x+3)1−x28 \cos{\left(8 x + 3 \right)} \operatorname{asin}{\left(x \right)} + \frac{\sin{\left(8 x + 3 \right)}}{\sqrt{1 - x^{2}}}
Simplificar
Segunda derivada [src] 
                           16*cos(3 + 8*x)   x*sin(3 + 8*x)
-64*asin(x)*sin(3 + 8*x) + --------------- + --------------
                                ________              3/2  
                               /      2       /     2\     
                             \/  1 - x        \1 - x /
xsin⁡(8x+3)(1−x2)32−64sin⁡(8x+3)asin⁡(x)+16cos⁡(8x+3)1−x2\frac{x \sin{\left(8 x + 3 \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 64 \sin{\left(8 x + 3 \right)} \operatorname{asin}{\left(x \right)} + \frac{16 \cos{\left(8 x + 3 \right)}}{\sqrt{1 - x^{2}}}
Simplificar
Tercera derivada [src] 
                                               /          2 \                                 
                                               |       3*x  |                                 
                                               |-1 + -------|*sin(3 + 8*x)                    
                                               |           2|                                 
                            192*sin(3 + 8*x)   \     -1 + x /                24*x*cos(3 + 8*x)
-512*asin(x)*cos(3 + 8*x) - ---------------- - --------------------------- + -----------------
                                 ________                      3/2                      3/2   
                                /      2               /     2\                 /     2\      
                              \/  1 - x                \1 - x /                 \1 - x /
24xcos⁡(8x+3)(1−x2)32−512cos⁡(8x+3)asin⁡(x)−192sin⁡(8x+3)1−x2−(3x2x2−1−1)sin⁡(8x+3)(1−x2)32\frac{24 x \cos{\left(8 x + 3 \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - 512 \cos{\left(8 x + 3 \right)} \operatorname{asin}{\left(x \right)} - \frac{192 \sin{\left(8 x + 3 \right)}}{\sqrt{1 - x^{2}}} - \frac{\left(\frac{3 x^{2}}{x^{2} - 1} - 1\right) \sin{\left(8 x + 3 \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}
Simplificar
Gráfico
Derivada de y=arcsin(x)×sin(8x+3)
    © Sr Examen – Калькулятор