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y=(x+1)arccos(3(x^4))
Derivada de la función/ (x+1)/ (x^4)/ arccos/ y=(x+1)arccos(3(x^4))

Derivada de y=(x+1)arccos(3(x^4))

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

Gráfico:

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Definida a trozos:

Solución

Ha introducido [src] 
            /   4\
(x + 1)*acos\3*x /
(x+1)acos⁡(3x4)\left(x + 1\right) \operatorname{acos}{\left(3 x^{4} \right)} 
(x + 1)*acos(3*x^4)
Gráfica
02468-8-6-4-2-1010-2010
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
      3                     
  12*x *(x + 1)       /   4\
- ------------- + acos\3*x /
     __________             
    /        8              
  \/  1 - 9*x
−12x3(x+1)1−9x8+acos⁡(3x4)- \frac{12 x^{3} \left(x + 1\right)}{\sqrt{1 - 9 x^{8}}} + \operatorname{acos}{\left(3 x^{4} \right)}
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Segunda derivada [src] 
      /                 /           8  \\
    2 |                 |       12*x   ||
12*x *|-2*x + 3*(1 + x)*|-1 + ---------||
      |                 |             8||
      \                 \     -1 + 9*x //
-----------------------------------------
                 __________              
                /        8               
              \/  1 - 9*x
12x2(−2x+3(x+1)(12x89x8−1−1))1−9x8\frac{12 x^{2} \left(- 2 x + 3 \left(x + 1\right) \left(\frac{12 x^{8}}{9 x^{8} - 1} - 1\right)\right)}{\sqrt{1 - 9 x^{8}}}
Simplificar
Tercera derivada [src] 
     /            /          8            16   \       /           8  \\
     |            |      78*x        648*x     |       |       12*x   ||
36*x*|- 2*(1 + x)*|1 - --------- + ------------| + 3*x*|-1 + ---------||
     |            |            8              2|       |             8||
     |            |    -1 + 9*x    /        8\ |       \     -1 + 9*x /|
     \            \                \-1 + 9*x / /                       /
------------------------------------------------------------------------
                                __________                              
                               /        8                               
                             \/  1 - 9*x
36x(3x(12x89x8−1−1)−2(x+1)(648x16(9x8−1)2−78x89x8−1+1))1−9x8\frac{36 x \left(3 x \left(\frac{12 x^{8}}{9 x^{8} - 1} - 1\right) - 2 \left(x + 1\right) \left(\frac{648 x^{16}}{\left(9 x^{8} - 1\right)^{2}} - \frac{78 x^{8}}{9 x^{8} - 1} + 1\right)\right)}{\sqrt{1 - 9 x^{8}}}
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Gráfico
Derivada de y=(x+1)arccos(3(x^4))
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