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y=(x-3)^4*arccos*(3x^6)
Derivada de la función/ (x-3)/ arccos/ y=(x-3)^4*arccos*(3x^6)

Derivada de y=(x-3)^4*arccos*(3x^6)

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

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Solución

Ha introducido [src] 
       4     /   6\
(x - 3) *acos\3*x /
(x−3)4acos⁡(3x6)\left(x - 3\right)^{4} \operatorname{acos}{\left(3 x^{6} \right)} 
(x - 3)^4*acos(3*x^6)
Gráfica
02468-8-6-4-2-1010-500500
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Primera derivada [src] 
                            5        4
         3     /   6\   18*x *(x - 3) 
4*(x - 3) *acos\3*x / - --------------
                           ___________
                          /        12 
                        \/  1 - 9*x
−18x5(x−3)41−9x12+4(x−3)3acos⁡(3x6)- \frac{18 x^{5} \left(x - 3\right)^{4}}{\sqrt{1 - 9 x^{12}}} + 4 \left(x - 3\right)^{3} \operatorname{acos}{\left(3 x^{6} \right)}
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Segunda derivada [src] 
            /                                               /           12  \\
            |                                   4         2 |       54*x    ||
            |                                3*x *(-3 + x) *|-5 + ----------||
            |                   5                           |             12||
          2 |      /   6\   24*x *(-3 + x)                  \     -1 + 9*x  /|
6*(-3 + x) *|2*acos\3*x / - -------------- + --------------------------------|
            |                  ___________               ___________         |
            |                 /        12               /        12          |
            \               \/  1 - 9*x               \/  1 - 9*x            /
6(x−3)2(−24x5(x−3)1−9x12+3x4(x−3)2(54x129x12−1−5)1−9x12+2acos⁡(3x6))6 \left(x - 3\right)^{2} \left(- \frac{24 x^{5} \left(x - 3\right)}{\sqrt{1 - 9 x^{12}}} + \frac{3 x^{4} \left(x - 3\right)^{2} \left(\frac{54 x^{12}}{9 x^{12} - 1} - 5\right)}{\sqrt{1 - 9 x^{12}}} + 2 \operatorname{acos}{\left(3 x^{6} \right)}\right)
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Tercera derivada [src] 
            /                                               /           12              24  \                                    \
            |                                   3         3 |      567*x          4374*x    |                   /           12  \|
            |                                3*x *(-3 + x) *|10 - ---------- + -------------|       4         2 |       54*x    ||
            |                                               |             12               2|   18*x *(-3 + x) *|-5 + ----------||
            |                   5                           |     -1 + 9*x     /        12\ |                   |             12||
            |      /   6\   54*x *(-3 + x)                  \                  \-1 + 9*x  / /                   \     -1 + 9*x  /|
12*(-3 + x)*|2*acos\3*x / - -------------- - ------------------------------------------------ + ---------------------------------|
            |                  ___________                       ___________                                 ___________         |
            |                 /        12                       /        12                                 /        12          |
            \               \/  1 - 9*x                       \/  1 - 9*x                                 \/  1 - 9*x            /
12(x−3)(−54x5(x−3)1−9x12+18x4(x−3)2(54x129x12−1−5)1−9x12−3x3(x−3)3(4374x24(9x12−1)2−567x129x12−1+10)1−9x12+2acos⁡(3x6))12 \left(x - 3\right) \left(- \frac{54 x^{5} \left(x - 3\right)}{\sqrt{1 - 9 x^{12}}} + \frac{18 x^{4} \left(x - 3\right)^{2} \left(\frac{54 x^{12}}{9 x^{12} - 1} - 5\right)}{\sqrt{1 - 9 x^{12}}} - \frac{3 x^{3} \left(x - 3\right)^{3} \left(\frac{4374 x^{24}}{\left(9 x^{12} - 1\right)^{2}} - \frac{567 x^{12}}{9 x^{12} - 1} + 10\right)}{\sqrt{1 - 9 x^{12}}} + 2 \operatorname{acos}{\left(3 x^{6} \right)}\right)
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Gráfico
Derivada de y=(x-3)^4*arccos*(3x^6)
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