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y=tg^22x*arcsin(5x-3)
Derivada de la función/ arcsin/ y=tg^2/ y=tg^22x*arcsin(5x-3)

Derivada de y=tg^22x*arcsin(5x-3)

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

Ha introducido [src] 
   2                   
tan (2*x)*asin(5*x - 3)
tan⁡2(2x)asin⁡(5x−3)\tan^{2}{\left(2 x \right)} \operatorname{asin}{\left(5 x - 3 \right)} 
tan(2*x)^2*asin(5*x - 3)
Gráfica
02468-8-6-4-2-1010-10001000
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Trazar el gráfico f'(x)
Primera derivada [src] 
         2                                                    
    5*tan (2*x)       /         2     \                       
------------------- + \4 + 4*tan (2*x)/*asin(5*x - 3)*tan(2*x)
   ________________                                           
  /              2                                            
\/  1 - (5*x - 3)
(4tan⁡2(2x)+4)tan⁡(2x)asin⁡(5x−3)+5tan⁡2(2x)1−(5x−3)2\left(4 \tan^{2}{\left(2 x \right)} + 4\right) \tan{\left(2 x \right)} \operatorname{asin}{\left(5 x - 3 \right)} + \frac{5 \tan^{2}{\left(2 x \right)}}{\sqrt{1 - \left(5 x - 3\right)^{2}}}
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Segunda derivada [src] 
                                                           2                      /       2     \         
  /       2     \ /         2     \                  25*tan (2*x)*(-3 + 5*x)   40*\1 + tan (2*x)/*tan(2*x)
8*\1 + tan (2*x)/*\1 + 3*tan (2*x)/*asin(-3 + 5*x) + ----------------------- + ---------------------------
                                                                        3/2           _________________   
                                                       /              2\             /               2    
                                                       \1 - (-3 + 5*x) /           \/  1 - (-3 + 5*x)
8(tan⁡2(2x)+1)(3tan⁡2(2x)+1)asin⁡(5x−3)+40(tan⁡2(2x)+1)tan⁡(2x)1−(5x−3)2+25(5x−3)tan⁡2(2x)(1−(5x−3)2)328 \left(\tan^{2}{\left(2 x \right)} + 1\right) \left(3 \tan^{2}{\left(2 x \right)} + 1\right) \operatorname{asin}{\left(5 x - 3 \right)} + \frac{40 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{\sqrt{1 - \left(5 x - 3\right)^{2}}} + \frac{25 \left(5 x - 3\right) \tan^{2}{\left(2 x \right)}}{\left(1 - \left(5 x - 3\right)^{2}\right)^{\frac{3}{2}}}
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Tercera derivada [src] 
                /                  2  \                                                                                                                                                 
         2      |      3*(-3 + 5*x)   |                                                                                                                                                 
  125*tan (2*x)*|-1 + ----------------|                                                                                                                                                 
                |                    2|       /       2     \ /         2     \                                                                      /       2     \                    
                \     -1 + (-3 + 5*x) /   120*\1 + tan (2*x)/*\1 + 3*tan (2*x)/      /       2     \ /         2     \                           300*\1 + tan (2*x)/*(-3 + 5*x)*tan(2*x)
- ------------------------------------- + ------------------------------------- + 64*\1 + tan (2*x)/*\2 + 3*tan (2*x)/*asin(-3 + 5*x)*tan(2*x) + ---------------------------------------
                            3/2                       _________________                                                                                                     3/2         
           /              2\                         /               2                                                                                     /              2\            
           \1 - (-3 + 5*x) /                       \/  1 - (-3 + 5*x)                                                                                      \1 - (-3 + 5*x) /
64(tan⁡2(2x)+1)(3tan⁡2(2x)+2)tan⁡(2x)asin⁡(5x−3)+120(tan⁡2(2x)+1)(3tan⁡2(2x)+1)1−(5x−3)2+300(5x−3)(tan⁡2(2x)+1)tan⁡(2x)(1−(5x−3)2)32−125(3(5x−3)2(5x−3)2−1−1)tan⁡2(2x)(1−(5x−3)2)3264 \left(\tan^{2}{\left(2 x \right)} + 1\right) \left(3 \tan^{2}{\left(2 x \right)} + 2\right) \tan{\left(2 x \right)} \operatorname{asin}{\left(5 x - 3 \right)} + \frac{120 \left(\tan^{2}{\left(2 x \right)} + 1\right) \left(3 \tan^{2}{\left(2 x \right)} + 1\right)}{\sqrt{1 - \left(5 x - 3\right)^{2}}} + \frac{300 \left(5 x - 3\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{\left(1 - \left(5 x - 3\right)^{2}\right)^{\frac{3}{2}}} - \frac{125 \left(\frac{3 \left(5 x - 3\right)^{2}}{\left(5 x - 3\right)^{2} - 1} - 1\right) \tan^{2}{\left(2 x \right)}}{\left(1 - \left(5 x - 3\right)^{2}\right)^{\frac{3}{2}}}
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Gráfico
Derivada de y=tg^22x*arcsin(5x-3)
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