THE MAIDEN problem (improved)

Calculus Level 4

consider the function y= sin(x) /{ x + x^{2} } .

LET y ( n ) y^{(n)} denote the n'th derivative of y. Then find the value of 90 * y ( 9 ) y^{(9)} - 6480 * y ( 7 ) y^{(7)} when the value of x limits to zero {i.e as x tends to zero}

This problem is inspired by this one. .

asterix(*) denotes multiplication.


The answer is 90.

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