# THE MAIDEN problem (improved)

**Calculus**Level pending

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

LET \(y^{(n)}\) denote the n'th derivative of y.
Then find the value of 90 * \(y^{(9)}\) - 6480 * \(y^{(7)}\)
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.