Question

Calcule a derivada da função f(x)= (cos3x)^{2}

Answer 1

Resposta:

f(x)= cos²(3x)

t=u²

u=cos(v)

v=3x

f'(x)= (v)' * [cos(v)]' * [u²]'

f'(x)= 3  * [-sen(v)] * 2u

f'(x)= 3  * [-sen(3x)] * 2*cos(v)

f'(x)= 3  * [-sen(3x)] * 2*cos(3x)

f'(x)=- 6 * sen(3x) *cos(3x)