Question

помагите сейчас надо пожалуйста​

Answer 1

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

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