Question

Tolong kak no.7-13
turunan trigono kelas XI :)

Answer 1

7. y=cos^2 4x
misal a. u^2=cos^2 4x
y'=2u
b. misal y= cos 4x maka y'= -4 sin 4x
maka y'= 2 cos 4x. -4 sin 4x
= -8 c0s 4x sin 4x

10. misal u= x maka u'= 1
v= sin x maka v'= cos x
jadi y=1.sin x+cos x.x= sin x+x cos x

9. misal u= sin^2 5x maka u'= 2sin 5x
 v=sin 5x mka v'= 5 cos 5x
mka y'= 4. 2. sin 5x. 5 cos5x= 40 sin 5x cos 5x

11. misal u= sin^2 2x mka u'= 2 cos 2x. 2 sin 2x
v= sin x^2 mka v'= 2x cos x^2
mka y'= 4 cos 2x sin 2x + 2x cos x^2

12. misal u = cos x mka u' sin x
v= sin x + cos x mka v'= cos x- sin x
y'= sin x. (sin x + cos x)-(cos x- sin x) cos x
      (sin x+cos x)^2
= sin ^2 x+ sin x. cos x- cos^2 x+ sin x . cos x
   sin ^2 x + cos ^2 x+ 2 cos x sin x
= sin^2 x- cos^2 x +2 sin x cos x
   1+ 2 cos x sin x
=sin^2 x - cos^2 x + cos 2x
  1+ cos 2x

13. misal u= sin^2 (3x-3) maka u'= 2sin (3x-3)
 v= sin (3x-3) mka v'= 3 cos (3x-3)
jadi  y'= 6 sin (3x-3) cos (3x-3)