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y=(x*arctg(x)sqrt(x))
Derivada de la función/ tg(x)/ arctg/ sqrt(x)/ y=(x*arctg(x)sqrt(x))

Derivada de y=(x*arctg(x)sqrt(x))

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

Ha introducido [src] 
            ___
x*atan(x)*\/ x
xxatan⁡(x)\sqrt{x} x \operatorname{atan}{\left(x \right)} 
(x*atan(x))*sqrt(x)
Gráfica
02468-8-6-4-2-1010050
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Primera derivada [src] 
                             ___        
  ___ /  x             \   \/ x *atan(x)
\/ x *|------ + atan(x)| + -------------
      |     2          |         2      
      \1 + x           /
x(xx2+1+atan⁡(x))+xatan⁡(x)2\sqrt{x} \left(\frac{x}{x^{2} + 1} + \operatorname{atan}{\left(x \right)}\right) + \frac{\sqrt{x} \operatorname{atan}{\left(x \right)}}{2}
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Segunda derivada [src] 
                                     /        2  \
  x                              ___ |       x   |
------ + atan(x)             2*\/ x *|-1 + ------|
     2                               |          2|
1 + x              atan(x)           \     1 + x /
---------------- - ------- - ---------------------
       ___             ___                2       
     \/ x          4*\/ x            1 + x
−2x(x2x2+1−1)x2+1+xx2+1+atan⁡(x)x−atan⁡(x)4x- \frac{2 \sqrt{x} \left(\frac{x^{2}}{x^{2} + 1} - 1\right)}{x^{2} + 1} + \frac{\frac{x}{x^{2} + 1} + \operatorname{atan}{\left(x \right)}}{\sqrt{x}} - \frac{\operatorname{atan}{\left(x \right)}}{4 \sqrt{x}}
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Tercera derivada [src] 
                                       /        2  \          /        2  \
    /  x             \                 |       x   |      3/2 |       x   |
  3*|------ + atan(x)|               3*|-1 + ------|   8*x   *|-1 + ------|
    |     2          |                 |          2|          |          2|
    \1 + x           /   3*atan(x)     \     1 + x /          \     1 + x /
- -------------------- + --------- - --------------- + --------------------
            3/2               3/2       ___ /     2\                2      
         4*x               8*x        \/ x *\1 + x /        /     2\       
                                                            \1 + x /
8x32(x2x2+1−1)(x2+1)2−3(x2x2+1−1)x(x2+1)−3(xx2+1+atan⁡(x))4x32+3atan⁡(x)8x32\frac{8 x^{\frac{3}{2}} \left(\frac{x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}} - \frac{3 \left(\frac{x^{2}}{x^{2} + 1} - 1\right)}{\sqrt{x} \left(x^{2} + 1\right)} - \frac{3 \left(\frac{x}{x^{2} + 1} + \operatorname{atan}{\left(x \right)}\right)}{4 x^{\frac{3}{2}}} + \frac{3 \operatorname{atan}{\left(x \right)}}{8 x^{\frac{3}{2}}}
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Gráfico
Derivada de y=(x*arctg(x)sqrt(x))
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