Question

Qual o valor da derivada de 2.cos(3x) \ x+1

Answer 1

Regra do quociente
(u/v)' = (u'v – uv')/v²
Regra da cadeia
[f(g(x))]' = f'(g(x))·g'(x)
assim
2(cos(3x)·(x + 1)' – cos'(3x)·(x + 1))/(x + 1)² = 2(cos(3x) + 3sen(3x)(x + 1))/(x² + 2x + 1) = (2cos(3x) + 3x·sen(3x) + 3sen(3x))/(x² + 2x + 1)