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y=tan(1+3x)arcsin(5x)
Derivada de la función/ y=tan/ arcsin/ sin(5x)/ y=tan(1+3x)arcsin(5x)

Derivada de y=tan(1+3x)arcsin(5x)

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

Ha introducido [src] 
tan(1 + 3*x)*asin(5*x)
tan⁡(3x+1)asin⁡(5x)\tan{\left(3 x + 1 \right)} \operatorname{asin}{\left(5 x \right)} 
tan(1 + 3*x)*asin(5*x)
Gráfica
02468-8-6-4-2-1010-5050
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Trazar el gráfico f'(x)
Primera derivada [src] 
/         2         \             5*tan(1 + 3*x)
\3 + 3*tan (1 + 3*x)/*asin(5*x) + --------------
                                     ___________
                                    /         2 
                                  \/  1 - 25*x
(3tan⁡2(3x+1)+3)asin⁡(5x)+5tan⁡(3x+1)1−25x2\left(3 \tan^{2}{\left(3 x + 1 \right)} + 3\right) \operatorname{asin}{\left(5 x \right)} + \frac{5 \tan{\left(3 x + 1 \right)}}{\sqrt{1 - 25 x^{2}}}
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Segunda derivada [src] 
   /       2         \                                                                     
30*\1 + tan (1 + 3*x)/      /       2         \                          125*x*tan(1 + 3*x)
---------------------- + 18*\1 + tan (1 + 3*x)/*asin(5*x)*tan(1 + 3*x) + ------------------
       ___________                                                                    3/2  
      /         2                                                          /        2\     
    \/  1 - 25*x                                                           \1 - 25*x /
125xtan⁡(3x+1)(1−25x2)32+18(tan⁡2(3x+1)+1)tan⁡(3x+1)asin⁡(5x)+30(tan⁡2(3x+1)+1)1−25x2\frac{125 x \tan{\left(3 x + 1 \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + 18 \left(\tan^{2}{\left(3 x + 1 \right)} + 1\right) \tan{\left(3 x + 1 \right)} \operatorname{asin}{\left(5 x \right)} + \frac{30 \left(\tan^{2}{\left(3 x + 1 \right)} + 1\right)}{\sqrt{1 - 25 x^{2}}}
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Tercera derivada [src] 
      /           2   \                                                                                                                                          
      |       75*x    |                                                                                                                                          
  125*|-1 + ----------|*tan(1 + 3*x)                                                                                                                             
      |              2|                                                                             /       2         \                       /       2         \
      \     -1 + 25*x /                   /       2         \ /         2         \             270*\1 + tan (1 + 3*x)/*tan(1 + 3*x)   1125*x*\1 + tan (1 + 3*x)/
- ---------------------------------- + 54*\1 + tan (1 + 3*x)/*\1 + 3*tan (1 + 3*x)/*asin(5*x) + ------------------------------------ + --------------------------
                       3/2                                                                                    ___________                               3/2      
            /        2\                                                                                      /         2                     /        2\         
            \1 - 25*x /                                                                                    \/  1 - 25*x                      \1 - 25*x /
1125x(tan⁡2(3x+1)+1)(1−25x2)32+54(tan⁡2(3x+1)+1)(3tan⁡2(3x+1)+1)asin⁡(5x)+270(tan⁡2(3x+1)+1)tan⁡(3x+1)1−25x2−125(75x225x2−1−1)tan⁡(3x+1)(1−25x2)32\frac{1125 x \left(\tan^{2}{\left(3 x + 1 \right)} + 1\right)}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + 54 \left(\tan^{2}{\left(3 x + 1 \right)} + 1\right) \left(3 \tan^{2}{\left(3 x + 1 \right)} + 1\right) \operatorname{asin}{\left(5 x \right)} + \frac{270 \left(\tan^{2}{\left(3 x + 1 \right)} + 1\right) \tan{\left(3 x + 1 \right)}}{\sqrt{1 - 25 x^{2}}} - \frac{125 \left(\frac{75 x^{2}}{25 x^{2} - 1} - 1\right) \tan{\left(3 x + 1 \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}}
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Gráfico
Derivada de y=tan(1+3x)arcsin(5x)
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