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

Derivada de y=tg^2*2x*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)
xtan⁡2(2)asin⁡(5x−3)x \tan^{2}{\left(2 \right)} \operatorname{asin}{\left(5 x - 3 \right)} 
(tan(2)^2*x)*asin(5*x - 3)
Gráfica
02468-8-6-4-2-1010-2525
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                                   2       
   2                        5*x*tan (2)    
tan (2)*asin(5*x - 3) + -------------------
                           ________________
                          /              2 
                        \/  1 - (5*x - 3)
5xtan⁡2(2)1−(5x−3)2+tan⁡2(2)asin⁡(5x−3)\frac{5 x \tan^{2}{\left(2 \right)}}{\sqrt{1 - \left(5 x - 3\right)^{2}}} + \tan^{2}{\left(2 \right)} \operatorname{asin}{\left(5 x - 3 \right)}
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Segunda derivada [src] 
     2    /     5*x*(-3 + 5*x)\
5*tan (2)*|2 + ---------------|
          |                  2|
          \    1 - (-3 + 5*x) /
-------------------------------
         _________________     
        /               2      
      \/  1 - (-3 + 5*x)
5(5x(5x−3)1−(5x−3)2+2)tan⁡2(2)1−(5x−3)2\frac{5 \left(\frac{5 x \left(5 x - 3\right)}{1 - \left(5 x - 3\right)^{2}} + 2\right) \tan^{2}{\left(2 \right)}}{\sqrt{1 - \left(5 x - 3\right)^{2}}}
Simplificar
Tercera derivada [src] 
           /                /                  2  \\
      2    |                |      3*(-3 + 5*x)   ||
25*tan (2)*|-9 + 15*x - 5*x*|-1 + ----------------||
           |                |                    2||
           \                \     -1 + (-3 + 5*x) //
----------------------------------------------------
                                 3/2                
                /              2\                   
                \1 - (-3 + 5*x) /
25(−5x(3(5x−3)2(5x−3)2−1−1)+15x−9)tan⁡2(2)(1−(5x−3)2)32\frac{25 \left(- 5 x \left(\frac{3 \left(5 x - 3\right)^{2}}{\left(5 x - 3\right)^{2} - 1} - 1\right) + 15 x - 9\right) \tan^{2}{\left(2 \right)}}{\left(1 - \left(5 x - 3\right)^{2}\right)^{\frac{3}{2}}}
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Gráfico
Derivada de y=tg^2*2x*arcsin(5x-3)
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