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y=arcsinsqrt(2*sinx)
Derivada de la función/ arcsin/ 2*sinx/ y=arcsinsqrt(2*sinx)

Derivada de y=arcsinsqrt(2*sinx)

Función f() - derivada -er orden en el punto
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Ha introducido [src] 
    /  __________\
asin\\/ 2*sin(x) /
asin⁡(2sin⁡(x))\operatorname{asin}{\left(\sqrt{2 \sin{\left(x \right)}} \right)} 
asin(sqrt(2*sin(x)))
Gráfica
02468-8-6-4-2-1010-1010
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Primera derivada [src] 
           ___               
         \/ 2 *cos(x)        
-----------------------------
    ______________   ________
2*\/ 1 - 2*sin(x) *\/ sin(x)
2cos⁡(x)21−2sin⁡(x)sin⁡(x)\frac{\sqrt{2} \cos{\left(x \right)}}{2 \sqrt{1 - 2 \sin{\left(x \right)}} \sqrt{\sin{\left(x \right)}}}
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Segunda derivada [src] 
      /                     2                    2           \
  ___ |      ________    cos (x)            2*cos (x)        |
\/ 2 *|- 2*\/ sin(x)  - --------- + -------------------------|
      |                    3/2                       ________|
      \                 sin   (x)   (1 - 2*sin(x))*\/ sin(x) /
--------------------------------------------------------------
                          ______________                      
                      4*\/ 1 - 2*sin(x)
2(−2sin⁡(x)−cos⁡2(x)sin⁡32(x)+2cos⁡2(x)(1−2sin⁡(x))sin⁡(x))41−2sin⁡(x)\frac{\sqrt{2} \left(- 2 \sqrt{\sin{\left(x \right)}} - \frac{\cos^{2}{\left(x \right)}}{\sin^{\frac{3}{2}}{\left(x \right)}} + \frac{2 \cos^{2}{\left(x \right)}}{\left(1 - 2 \sin{\left(x \right)}\right) \sqrt{\sin{\left(x \right)}}}\right)}{4 \sqrt{1 - 2 \sin{\left(x \right)}}}
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Tercera derivada [src] 
      /                  ________        2                  2                            2           \       
  ___ |    2        12*\/ sin(x)    3*cos (x)          4*cos (x)                   12*cos (x)        |       
\/ 2 *|---------- - ------------- + --------- - ------------------------ + --------------------------|*cos(x)
      |  ________    1 - 2*sin(x)      5/2                        3/2                    2   ________|       
      \\/ sin(x)                    sin   (x)   (1 - 2*sin(x))*sin   (x)   (1 - 2*sin(x)) *\/ sin(x) /       
-------------------------------------------------------------------------------------------------------------
                                                  ______________                                             
                                              8*\/ 1 - 2*sin(x)
2(2sin⁡(x)+3cos⁡2(x)sin⁡52(x)−12sin⁡(x)1−2sin⁡(x)−4cos⁡2(x)(1−2sin⁡(x))sin⁡32(x)+12cos⁡2(x)(1−2sin⁡(x))2sin⁡(x))cos⁡(x)81−2sin⁡(x)\frac{\sqrt{2} \left(\frac{2}{\sqrt{\sin{\left(x \right)}}} + \frac{3 \cos^{2}{\left(x \right)}}{\sin^{\frac{5}{2}}{\left(x \right)}} - \frac{12 \sqrt{\sin{\left(x \right)}}}{1 - 2 \sin{\left(x \right)}} - \frac{4 \cos^{2}{\left(x \right)}}{\left(1 - 2 \sin{\left(x \right)}\right) \sin^{\frac{3}{2}}{\left(x \right)}} + \frac{12 \cos^{2}{\left(x \right)}}{\left(1 - 2 \sin{\left(x \right)}\right)^{2} \sqrt{\sin{\left(x \right)}}}\right) \cos{\left(x \right)}}{8 \sqrt{1 - 2 \sin{\left(x \right)}}}
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Gráfico
Derivada de y=arcsinsqrt(2*sinx)
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