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Derivada de la función/ sin9x/ x+x^4/ y=(ln5x-sin9x+x^4)^15

Derivada de y=(ln5x-sin9x+x^4)^15

Función f() - derivada -er orden en el punto
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Ha introducido [src] 
                          15
/                       4\  
\log(5*x) - sin(9*x) + x /
(x4+(log⁡(5x)−sin⁡(9x)))15\left(x^{4} + \left(\log{\left(5 x \right)} - \sin{\left(9 x \right)}\right)\right)^{15} 
(log(5*x) - sin(9*x) + x^4)^15
Primera derivada [src] 
                          14                             
/                       4\   /                15       3\
\log(5*x) - sin(9*x) + x /  *|-135*cos(9*x) + -- + 60*x |
                             \                x         /
(x4+(log⁡(5x)−sin⁡(9x)))14(60x3−135cos⁡(9x)+15x)\left(x^{4} + \left(\log{\left(5 x \right)} - \sin{\left(9 x \right)}\right)\right)^{14} \left(60 x^{3} - 135 \cos{\left(9 x \right)} + \frac{15}{x}\right)
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Segunda derivada [src] 
                             13 /                          2                                                          \
   / 4                      \   |   /1                   3\    / 4                      \ /  1        2              \|
15*\x  - sin(9*x) + log(5*x)/  *|14*|- - 9*cos(9*x) + 4*x |  + \x  - sin(9*x) + log(5*x)/*|- -- + 12*x  + 81*sin(9*x)||
                                |   \x                    /                               |   2                      ||
                                \                                                         \  x                       //
15((12x2+81sin⁡(9x)−1x2)(x4+log⁡(5x)−sin⁡(9x))+14(4x3−9cos⁡(9x)+1x)2)(x4+log⁡(5x)−sin⁡(9x))1315 \left(\left(12 x^{2} + 81 \sin{\left(9 x \right)} - \frac{1}{x^{2}}\right) \left(x^{4} + \log{\left(5 x \right)} - \sin{\left(9 x \right)}\right) + 14 \left(4 x^{3} - 9 \cos{\left(9 x \right)} + \frac{1}{x}\right)^{2}\right) \left(x^{4} + \log{\left(5 x \right)} - \sin{\left(9 x \right)}\right)^{13}
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Tercera derivada [src] 
                             12 /                           3                             2                                                                                                                \
   / 4                      \   |    /1                   3\    / 4                      \  /2                       \      /1                   3\ / 4                      \ /  1        2              \|
15*\x  - sin(9*x) + log(5*x)/  *|182*|- - 9*cos(9*x) + 4*x |  + \x  - sin(9*x) + log(5*x)/ *|-- + 24*x + 729*cos(9*x)| + 42*|- - 9*cos(9*x) + 4*x |*\x  - sin(9*x) + log(5*x)/*|- -- + 12*x  + 81*sin(9*x)||
                                |    \x                    /                                | 3                      |      \x                    /                            |   2                      ||
                                \                                                           \x                       /                                                         \  x                       //
15(x4+log⁡(5x)−sin⁡(9x))12((24x+729cos⁡(9x)+2x3)(x4+log⁡(5x)−sin⁡(9x))2+42(12x2+81sin⁡(9x)−1x2)(4x3−9cos⁡(9x)+1x)(x4+log⁡(5x)−sin⁡(9x))+182(4x3−9cos⁡(9x)+1x)3)15 \left(x^{4} + \log{\left(5 x \right)} - \sin{\left(9 x \right)}\right)^{12} \left(\left(24 x + 729 \cos{\left(9 x \right)} + \frac{2}{x^{3}}\right) \left(x^{4} + \log{\left(5 x \right)} - \sin{\left(9 x \right)}\right)^{2} + 42 \left(12 x^{2} + 81 \sin{\left(9 x \right)} - \frac{1}{x^{2}}\right) \left(4 x^{3} - 9 \cos{\left(9 x \right)} + \frac{1}{x}\right) \left(x^{4} + \log{\left(5 x \right)} - \sin{\left(9 x \right)}\right) + 182 \left(4 x^{3} - 9 \cos{\left(9 x \right)} + \frac{1}{x}\right)^{3}\right)
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