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Пи*arctgx/arcctgx
Derivada de la función/ arctg/ Пи*arctgx/arcctgx

Derivada de Пи*arctgx/arcctgx

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
pi*acot(x)
----------
 acot(x)
πacot⁡(x)acot⁡(x)\frac{\pi \operatorname{acot}{\left(x \right)}}{\operatorname{acot}{\left(x \right)}} 
(pi*acot(x))/acot(x)
Gráfica
-0.010-0.008-0.006-0.004-0.0020.0100.0000.0020.0040.0060.0080.00
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
0
00
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Segunda derivada [src] 
0
00
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Tercera derivada [src] 
     /                                         /       1   \ \
     |                                       3*|x - -------| |
     |        3                 3*x            \    acot(x)/ |
2*pi*|----------------- - ---------------- + ----------------|
     |/     2\     2      /     2\           /     2\        |
     \\1 + x /*acot (x)   \1 + x /*acot(x)   \1 + x /*acot(x)/
--------------------------------------------------------------
                              2                               
                      /     2\                                
                      \1 + x / *acot(x)
2π(−3x(x2+1)acot⁡(x)+3(x−1acot⁡(x))(x2+1)acot⁡(x)+3(x2+1)acot⁡2(x))(x2+1)2acot⁡(x)\frac{2 \pi \left(- \frac{3 x}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} + \frac{3 \left(x - \frac{1}{\operatorname{acot}{\left(x \right)}}\right)}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} + \frac{3}{\left(x^{2} + 1\right) \operatorname{acot}^{2}{\left(x \right)}}\right)}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}}
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Gráfico
Derivada de Пи*arctgx/arcctgx
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