Question

Bantuin kak pliss penyelesaian nya gimana ya ​

Answer 1

Jawab:

trigonometri

nilai fungsi turunan

Penjelasan dengan langkah-langkah:

f(x) = 3 sin 2x cos³ x

.

u = 3 sin 2x

u' = 6 cos 2x

.

v = cos³ x  

v' = 3 cos² x (-sin x)  --> v' = - 3 cos²x sin x

.

f ' (x) =  u'v  + uv'

f ' (x) =  (6 cos 2x)(cos³ x)+ (3 sin 2x)(-3 cos² x sin x)

f ' (x) =  6 cos³ x cos 2x - 9 cos² x sin x sin 2x

.

f ' (π/6) = f ' (30°)

=  6 (cos 30)³ (cos 60) - 9 (cos 30)² (sin 30) (sin 60)

= 6 (1/2 √3) (1/2) - 9 (1/2 √3)² )(1/2)(1/2 √3)

= 6/4  √3 - 9 (3/4)(1/4 √3)

= 6/4 √3 -  27/16  √3

= (6/4  - 27/16)√3

= - 3/16   √3

.