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y=sqrt(tgx)+x*arcsinx
Derivada de la función/ (tgx)/ arcsin/ y=sqrt(tgx)+x*arcsinx

Derivada de y=sqrt(tgx)+x*arcsinx

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
  ________            
\/ tan(x)  + x*asin(x)
xasin⁡(x)+tan⁡(x)x \operatorname{asin}{\left(x \right)} + \sqrt{\tan{\left(x \right)}} 
sqrt(tan(x)) + x*asin(x)
Gráfica
02468-8-6-4-2-101005
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Trazar el gráfico f'(x)
Primera derivada [src] 
                     2             
              1   tan (x)          
              - + -------          
     x        2      2             
----------- + ----------- + asin(x)
   ________      ________          
  /      2     \/ tan(x)           
\/  1 - x
x1−x2+tan⁡2(x)2+12tan⁡(x)+asin⁡(x)\frac{x}{\sqrt{1 - x^{2}}} + \frac{\frac{\tan^{2}{\left(x \right)}}{2} + \frac{1}{2}}{\sqrt{\tan{\left(x \right)}}} + \operatorname{asin}{\left(x \right)}
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Segunda derivada [src] 
                                                                    2
                    2                                  /       2   \ 
     2             x          ________ /       2   \   \1 + tan (x)/ 
----------- + ----------- + \/ tan(x) *\1 + tan (x)/ - --------------
   ________           3/2                                    3/2     
  /      2    /     2\                                  4*tan   (x)  
\/  1 - x     \1 - x /
x2(1−x2)32−(tan⁡2(x)+1)24tan⁡32(x)+(tan⁡2(x)+1)tan⁡(x)+21−x2\frac{x^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{4 \tan^{\frac{3}{2}}{\left(x \right)}} + \left(\tan^{2}{\left(x \right)} + 1\right) \sqrt{\tan{\left(x \right)}} + \frac{2}{\sqrt{1 - x^{2}}}
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Tercera derivada [src] 
                                                                     2                  3
                                   3                    /       2   \      /       2   \ 
     3/2    /       2   \       3*x           4*x       \1 + tan (x)/    3*\1 + tan (x)/ 
2*tan   (x)*\1 + tan (x)/ + ----------- + ----------- - -------------- + ----------------
                                    5/2           3/2        ________           5/2      
                            /     2\      /     2\       2*\/ tan(x)       8*tan   (x)   
                            \1 - x /      \1 - x /
3x3(1−x2)52+4x(1−x2)32+3(tan⁡2(x)+1)38tan⁡52(x)−(tan⁡2(x)+1)22tan⁡(x)+2(tan⁡2(x)+1)tan⁡32(x)\frac{3 x^{3}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{4 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{3}}{8 \tan^{\frac{5}{2}}{\left(x \right)}} - \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{2 \sqrt{\tan{\left(x \right)}}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{\frac{3}{2}}{\left(x \right)}
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Gráfico
Derivada de y=sqrt(tgx)+x*arcsinx
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