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y=arctg^2x-cosarcsin7x
Derivada de la función/ ctg^2/ arctg/ sin7x/ tg^2x/ arcsin/ y=arctg^2x-cosarcsin7x

Derivada de y=arctg^2x-cosarcsin7x

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

Gráfico:

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Solución

Ha introducido [src] 
    2                    
atan (x) - cos(asin(7*x))
−cos⁡(asin⁡(7x))+atan⁡2(x)- \cos{\left(\operatorname{asin}{\left(7 x \right)} \right)} + \operatorname{atan}^{2}{\left(x \right)} 
atan(x)^2 - cos(asin(7*x))
Gráfica
02468-8-6-4-2-1010-2020
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
2*atan(x)        49*x     
--------- + --------------
       2       ___________
  1 + x       /         2 
            \/  1 - 49*x
49x1−49x2+2atan⁡(x)x2+1\frac{49 x}{\sqrt{1 - 49 x^{2}}} + \frac{2 \operatorname{atan}{\left(x \right)}}{x^{2} + 1}
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Segunda derivada [src] 
                                      2                  
    2             49            2401*x        4*x*atan(x)
--------- + -------------- + -------------- - -----------
        2      ___________              3/2            2 
/     2\      /         2    /        2\       /     2\  
\1 + x /    \/  1 - 49*x     \1 - 49*x /       \1 + x /
2401x2(1−49x2)32−4xatan⁡(x)(x2+1)2+2(x2+1)2+491−49x2\frac{2401 x^{2}}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} - \frac{4 x \operatorname{atan}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{2}{\left(x^{2} + 1\right)^{2}} + \frac{49}{\sqrt{1 - 49 x^{2}}}
Simplificar
Tercera derivada [src] 
                                                     3          2        
     12*x     4*atan(x)       7203*x         352947*x       16*x *atan(x)
- --------- - --------- + -------------- + -------------- + -------------
          3           2              3/2              5/2             3  
  /     2\    /     2\    /        2\      /        2\        /     2\   
  \1 + x /    \1 + x /    \1 - 49*x /      \1 - 49*x /        \1 + x /
352947x3(1−49x2)52+16x2atan⁡(x)(x2+1)3−12x(x2+1)3+7203x(1−49x2)32−4atan⁡(x)(x2+1)2\frac{352947 x^{3}}{\left(1 - 49 x^{2}\right)^{\frac{5}{2}}} + \frac{16 x^{2} \operatorname{atan}{\left(x \right)}}{\left(x^{2} + 1\right)^{3}} - \frac{12 x}{\left(x^{2} + 1\right)^{3}} + \frac{7203 x}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} - \frac{4 \operatorname{atan}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}}
Simplificar
Gráfico
Derivada de y=arctg^2x-cosarcsin7x
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