Question

y=cosx * sin3x х0=-П/2 производные

Answer 1

$y=cosxcdot sin3x; ,; ; x_0=-frac{pi}{2}\\y'=-sinxcdot sin3x+cosxcdot 3cos3x\\y'(-frac{pi}{2})=-underbrace{sin(-frac{pi}{2})}_{-1}cdot underbrace{sin (-frac{3pi}{2})}_{1}+underbrace {cos(-frac{pi}{2})}_{0}cdot 3cdot underbrace{cos(-frac{3pi}{2})}_{0}=1$