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y=(x+2)^7×arccos((3x)^4)
Derivada de la función/ (x+2)/ arccos/ y=(x+2)^7×arccos((3x)^4)

Derivada de y=(x+2)^7×arccos((3x)^4)

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

Ha introducido [src] 
       7     /     4\
(x + 2) *acos\(3*x) /
(x+2)7acos⁡((3x)4)\left(x + 2\right)^{7} \operatorname{acos}{\left(\left(3 x\right)^{4} \right)} 
(x + 2)^7*acos((3*x)^4)
Gráfica
02468-8-6-4-2-1010-50005000
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Primera derivada [src] 
                               3        7 
         6     /     4\   324*x *(x + 2)  
7*(x + 2) *acos\(3*x) / - ----------------
                             _____________
                            /           8 
                          \/  1 - 6561*x
−324x3(x+2)71−6561x8+7(x+2)6acos⁡((3x)4)- \frac{324 x^{3} \left(x + 2\right)^{7}}{\sqrt{1 - 6561 x^{8}}} + 7 \left(x + 2\right)^{6} \operatorname{acos}{\left(\left(3 x\right)^{4} \right)}
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Segunda derivada [src] 
           /                                                    /             8   \\
           |                                         2        2 |       8748*x    ||
           |                                    162*x *(2 + x) *|-1 + ------------||
           |                       3                            |                8||
         5 |      /     4\    756*x *(2 + x)                    \     -1 + 6561*x /|
6*(2 + x) *|7*acos\(3*x) / - ---------------- + -----------------------------------|
           |                    _____________                _____________         |
           |                   /           8                /           8          |
           \                 \/  1 - 6561*x               \/  1 - 6561*x           /
6(x+2)5(−756x3(x+2)1−6561x8+162x2(x+2)2(8748x86561x8−1−1)1−6561x8+7acos⁡((3x)4))6 \left(x + 2\right)^{5} \left(- \frac{756 x^{3} \left(x + 2\right)}{\sqrt{1 - 6561 x^{8}}} + \frac{162 x^{2} \left(x + 2\right)^{2} \left(\frac{8748 x^{8}}{6561 x^{8} - 1} - 1\right)}{\sqrt{1 - 6561 x^{8}}} + 7 \operatorname{acos}{\left(\left(3 x\right)^{4} \right)}\right)
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Tercera derivada [src] 
           /                                                    /             8                 16 \                                       \
           |                                                  3 |      56862*x       344373768*x   |                    /             8   \|
           |                                     324*x*(2 + x) *|1 - ------------ + ---------------|         2        2 |       8748*x    ||
           |                                                    |               8                 2|   3402*x *(2 + x) *|-1 + ------------||
           |                        3                           |    -1 + 6561*x    /           8\ |                    |                8||
         4 |       /     4\   6804*x *(2 + x)                   \                   \-1 + 6561*x / /                    \     -1 + 6561*x /|
6*(2 + x) *|35*acos\(3*x) / - ---------------- - --------------------------------------------------- + ------------------------------------|
           |                     _____________                        _____________                                 _____________          |
           |                    /           8                        /           8                                 /           8           |
           \                  \/  1 - 6561*x                       \/  1 - 6561*x                                \/  1 - 6561*x            /
6(x+2)4(−6804x3(x+2)1−6561x8+3402x2(x+2)2(8748x86561x8−1−1)1−6561x8−324x(x+2)3(344373768x16(6561x8−1)2−56862x86561x8−1+1)1−6561x8+35acos⁡((3x)4))6 \left(x + 2\right)^{4} \left(- \frac{6804 x^{3} \left(x + 2\right)}{\sqrt{1 - 6561 x^{8}}} + \frac{3402 x^{2} \left(x + 2\right)^{2} \left(\frac{8748 x^{8}}{6561 x^{8} - 1} - 1\right)}{\sqrt{1 - 6561 x^{8}}} - \frac{324 x \left(x + 2\right)^{3} \left(\frac{344373768 x^{16}}{\left(6561 x^{8} - 1\right)^{2}} - \frac{56862 x^{8}}{6561 x^{8} - 1} + 1\right)}{\sqrt{1 - 6561 x^{8}}} + 35 \operatorname{acos}{\left(\left(3 x\right)^{4} \right)}\right)
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Gráfico
Derivada de y=(x+2)^7×arccos((3x)^4)
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