Question

3. Tentukan Turunan pertama dari Fungsi F(x) = Cos^4 (3x²-5)!!

Answer 1

F(x) = cos^4 (3x^2-5)
y = 3x^2-5 ⇒  du/dx = 6x
v = u^4 ⇒ dy/dv = 4u^3
u = cos u ⇒ dv/du = -sin u
dy/dx = dy/dv . dv/du . du/dx
= 4u^3 (-sin u) . 6x
= - 4 cos^3 u sin u . 6x
= - 24x cos^3 (3x^2-5) sin (3x^2-5)

kalo gak salah...