Question

Jika
U= 2sin^2 2x + 3x
V= 3cos^2 2x + 3x
Berapakah
du/dv ?
d^2u/dv^2 ?
d^3u/dv^3 ?

Answer 1

U= 2sin^2 2x + 3x

V= 3cos^2 2x + 3x

du/dx=8sin2x cos 2x+3

dv/dx=-12cos2x sin2x+3

du/dv= du/dx dx/dv

=(8sin2x cos 2x+3}/(-12cos2x sin2x+3)

=(4sin4x +3)/(-6sin4x+3