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y=arcsin(x^2)-ln(lnx)

Derivada de y=arcsin(x^2)-ln(lnx)

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

Ha introducido [src]
    / 2\              
asin\x / - log(log(x))
log(log(x))+asin(x2)- \log{\left(\log{\left(x \right)} \right)} + \operatorname{asin}{\left(x^{2} \right)}
asin(x^2) - log(log(x))
Gráfica
02468-8-6-4-2-1010020
Primera derivada [src]
     1           2*x    
- -------- + -----------
  x*log(x)      ________
               /      4 
             \/  1 - x  
2x1x41xlog(x)\frac{2 x}{\sqrt{1 - x^{4}}} - \frac{1}{x \log{\left(x \right)}}
Segunda derivada [src]
                                              4   
     2            1           1            4*x    
----------- + --------- + ---------- + -----------
   ________    2           2    2              3/2
  /      4    x *log(x)   x *log (x)   /     4\   
\/  1 - x                              \1 - x /   
4x4(1x4)32+21x4+1x2log(x)+1x2log(x)2\frac{4 x^{4}}{\left(1 - x^{4}\right)^{\frac{3}{2}}} + \frac{2}{\sqrt{1 - x^{4}}} + \frac{1}{x^{2} \log{\left(x \right)}} + \frac{1}{x^{2} \log{\left(x \right)}^{2}}
Tercera derivada [src]
                                               3             7   
      3            2           2           20*x          24*x    
- ---------- - --------- - ---------- + ----------- + -----------
   3    2       3           3    3              3/2           5/2
  x *log (x)   x *log(x)   x *log (x)   /     4\      /     4\   
                                        \1 - x /      \1 - x /   
24x7(1x4)52+20x3(1x4)322x3log(x)3x3log(x)22x3log(x)3\frac{24 x^{7}}{\left(1 - x^{4}\right)^{\frac{5}{2}}} + \frac{20 x^{3}}{\left(1 - x^{4}\right)^{\frac{3}{2}}} - \frac{2}{x^{3} \log{\left(x \right)}} - \frac{3}{x^{3} \log{\left(x \right)}^{2}} - \frac{2}{x^{3} \log{\left(x \right)}^{3}}
Gráfico
Derivada de y=arcsin(x^2)-ln(lnx)