Nilai f”(phi) dari fungsi f(x) = sin 1/2x adlh Bantu jwb nnti ku jadikan brainlest

Jawab:

Turunan Fungsi Trigonometri

y =  a sin (bx)

y' = ab cos (bx)

y" = – ab² sin (bx)

Penjelasan dengan langkah-langkah:

f(x) = sin (1/2x)

f' (x) = 1 (1/2) cos (1/2 x)

f' (x) = 1/2 cos (1/2 x)

*

f" (x) = 1/2 (1/2 ) { – sin (1/2 x)}

f " (x) =  - 1/4 sin (1/2 x)

*

f " (pi) = – 1/ 4 . sin (1/2 pi)

f" (pi) =  -1/4  (1)

f " (pi) = -1/4

F'(x) = sin 1/2 x
f'(x) = 1/2cos 1/2x

f''(x) = – 1/4 sin 1/2x

f''(π) = -1/4 sin 1/2. 180°
f"(π) = -1/4 sin 90° –> -1/4(1) = -1/4