Question

derivada da funçao f(x)=sen(2x)cosx

Answer 1

Regra do produto:

$y = \sin (2x) \cdot \cos (x) \\ \\ y' = \sin (2x)' \cdot \cos (x) + \sin (2x) \cdot \cos (x)' \\ \\ y' = \cos (2x) \cdot (2x)' \cdot \cos (x) + \sin (2x) \cdot (-\sin (x)) \\ \\ \boxed{\boxed{y' = 2 \cos (2x) \cdot \cos (x) - \sin (2x) \cdot \sin (x)}}$