Question

Y=(3-x/2)^-9 найти производную функции

Answer 1

$y=(3-\frac{x}{2})^{-9}\; \; \; ,\; \; \; (u^{n})'=n\cdot u^{n-1}\cdot u'\\\\y'=-9\cdot (3-\frac{x}{2})^{-10}\cdot (3-\frac{x}{2})'=-9\cdot (3-\frac{x}{2})^{-10}\cdot (-\frac{1}{2})=\\\\=4,5\cdot (3-\frac{x}{2})^{-10}$