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y=(x+2)^7*arccos*(x^-2)
Derivada de la función/ arccos/ (x+2)/ (x^-2)/ y=(x+2)^7*arccos*(x^-2)

Derivada de y=(x+2)^7*arccos*(x^-2)

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

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Solución

Ha introducido [src] 
       7     /1 \
(x + 2) *acos|--|
             | 2|
             \x /
(x+2)7acos⁡(1x2)\left(x + 2\right)^{7} \operatorname{acos}{\left(\frac{1}{x^{2}} \right)} 
(x + 2)^7*acos(x^(-2))
Gráfica
02468-8-6-4-2-1010-50000000100000000
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Primera derivada [src] 
                                  7   
         6     /1 \      2*(x + 2)    
7*(x + 2) *acos|--| + ----------------
               | 2|           ________
               \x /    3     /     1  
                      x *   /  1 - -- 
                           /        4 
                         \/        x
7(x+2)6acos⁡(1x2)+2(x+2)7x31−1x47 \left(x + 2\right)^{6} \operatorname{acos}{\left(\frac{1}{x^{2}} \right)} + \frac{2 \left(x + 2\right)^{7}}{x^{3} \sqrt{1 - \frac{1}{x^{4}}}}
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Segunda derivada [src] 
           /                                        2 /         2     \\
           |                                 (2 + x) *|3 + -----------||
           |                                          |     4 /    1 \||
           |                                          |    x *|1 - --|||
           |                                          |       |     4|||
         5 |       /1 \      14*(2 + x)               \       \    x //|
2*(2 + x) *|21*acos|--| + ---------------- - --------------------------|
           |       | 2|           ________                ________     |
           |       \x /    3     /     1           4     /     1       |
           |              x *   /  1 - --         x *   /  1 - --      |
           |                   /        4              /        4      |
           \                 \/        x             \/        x       /
2(x+2)5(21acos⁡(1x2)+14(x+2)x31−1x4−(3+2x4(1−1x4))(x+2)2x41−1x4)2 \left(x + 2\right)^{5} \left(21 \operatorname{acos}{\left(\frac{1}{x^{2}} \right)} + \frac{14 \left(x + 2\right)}{x^{3} \sqrt{1 - \frac{1}{x^{4}}}} - \frac{\left(3 + \frac{2}{x^{4} \left(1 - \frac{1}{x^{4}}\right)}\right) \left(x + 2\right)^{2}}{x^{4} \sqrt{1 - \frac{1}{x^{4}}}}\right)
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Tercera derivada [src] 
           /                                                                           3 /         6              11    \\
           |                                            2 /         2     \   2*(2 + x) *|6 + ------------ + -----------||
           |                                  21*(2 + x) *|3 + -----------|              |               2    4 /    1 \||
           |                                              |     4 /    1 \|              |     8 /    1 \    x *|1 - --|||
           |                                              |    x *|1 - --||              |    x *|1 - --|       |     4|||
           |                                              |       |     4||              |       |     4|       \    x /||
         4 |        /1 \     126*(2 + x)                  \       \    x //              \       \    x /               /|
2*(2 + x) *|105*acos|--| + ---------------- - ----------------------------- + -------------------------------------------|
           |        | 2|           ________                  ________                               ________             |
           |        \x /    3     /     1             4     /     1                          5     /     1               |
           |               x *   /  1 - --           x *   /  1 - --                        x *   /  1 - --              |
           |                    /        4                /        4                             /        4              |
           \                  \/        x               \/        x                            \/        x               /
2(x+2)4(105acos⁡(1x2)+126(x+2)x31−1x4−21(3+2x4(1−1x4))(x+2)2x41−1x4+2(x+2)3(6+11x4(1−1x4)+6x8(1−1x4)2)x51−1x4)2 \left(x + 2\right)^{4} \left(105 \operatorname{acos}{\left(\frac{1}{x^{2}} \right)} + \frac{126 \left(x + 2\right)}{x^{3} \sqrt{1 - \frac{1}{x^{4}}}} - \frac{21 \left(3 + \frac{2}{x^{4} \left(1 - \frac{1}{x^{4}}\right)}\right) \left(x + 2\right)^{2}}{x^{4} \sqrt{1 - \frac{1}{x^{4}}}} + \frac{2 \left(x + 2\right)^{3} \left(6 + \frac{11}{x^{4} \left(1 - \frac{1}{x^{4}}\right)} + \frac{6}{x^{8} \left(1 - \frac{1}{x^{4}}\right)^{2}}\right)}{x^{5} \sqrt{1 - \frac{1}{x^{4}}}}\right)
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Gráfico
Derivada de y=(x+2)^7*arccos*(x^-2)
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