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y=arctg^2(7x+4)
Derivada de la función/ ctg^2/ arctg/ y=arctg^2(7x+4)

Derivada de y=arctg^2(7x+4)

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

Ha introducido [src] 
    2         
atan (7*x + 4)
atan⁡2(7x+4)\operatorname{atan}^{2}{\left(7 x + 4 \right)} 
atan(7*x + 4)^2
Gráfica
02468-8-6-4-2-1010-1010
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Trazar el gráfico f'(x)
Primera derivada [src] 
14*atan(7*x + 4)
----------------
              2 
 1 + (7*x + 4)
14atan⁡(7x+4)(7x+4)2+1\frac{14 \operatorname{atan}{\left(7 x + 4 \right)}}{\left(7 x + 4\right)^{2} + 1}
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Segunda derivada [src] 
98*(1 - 2*(4 + 7*x)*atan(4 + 7*x))
----------------------------------
                        2         
        /             2\          
        \1 + (4 + 7*x) /
98(−2(7x+4)atan⁡(7x+4)+1)((7x+4)2+1)2\frac{98 \left(- 2 \left(7 x + 4\right) \operatorname{atan}{\left(7 x + 4 \right)} + 1\right)}{\left(\left(7 x + 4\right)^{2} + 1\right)^{2}}
Simplificar
Tercera derivada [src] 
     /                                             2              \
     |                  3*(4 + 7*x)     4*(4 + 7*x) *atan(4 + 7*x)|
1372*|-atan(4 + 7*x) - -------------- + --------------------------|
     |                              2                      2      |
     \                 1 + (4 + 7*x)          1 + (4 + 7*x)       /
-------------------------------------------------------------------
                                         2                         
                         /             2\                          
                         \1 + (4 + 7*x) /
1372(4(7x+4)2atan⁡(7x+4)(7x+4)2+1−3(7x+4)(7x+4)2+1−atan⁡(7x+4))((7x+4)2+1)2\frac{1372 \left(\frac{4 \left(7 x + 4\right)^{2} \operatorname{atan}{\left(7 x + 4 \right)}}{\left(7 x + 4\right)^{2} + 1} - \frac{3 \left(7 x + 4\right)}{\left(7 x + 4\right)^{2} + 1} - \operatorname{atan}{\left(7 x + 4 \right)}\right)}{\left(\left(7 x + 4\right)^{2} + 1\right)^{2}}
Simplificar
Gráfico
Derivada de y=arctg^2(7x+4)
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