Question

помагите сейчас надо пожалуйста​

Answer 1

$1)y=Sin(frac{pi}{6}-2x)\\y'=(Sin(frac{pi }{6}-2x))'=Cos(frac{pi}{6}-2x)*(frac{pi}{6}-2x)'=-2Cos(frac{pi}{6}-2x)\\y'(x_{0})=y'(frac{pi }{12})=-2Cos(frac{pi}{6}-2*frac{pi }{12})=-2Cos(frac{pi}{6}-frac{pi }{6})=-2Cos0=-2*1=-2$

$2)y=tg6x\\y'=(tg6x)'=frac{1}{Cos^{2}6x}*(6x)'=frac{6}{Cos^{2}6x} \\y'(x_{0})=y'(frac{pi }{24})= frac{6}{Cos^{2}(6*frac{pi }{24})}=frac{6}{Cos^{2}frac{pi }{4}}=frac{6}{(frac{1}{sqrt{2}})^{2}}=6*2=12$