Question

Bantu ya temen" pakai cara nya

Answer 1

Verified answer

Jawab:

turunan y = u  v

y' = u' v + u v'

Penjelasan dengan langkah-langkah:

f(x) =  (3x² + 4)⁵ (2x -1)⁴

u = (3x² +4)⁵  --> u' = 5 (3x² + 4)⁴ (6x) = 30 x(3x² + 4)⁴

v = (2x - 1)⁴ --> v' = 4 (2x - 1)³ (2) = 8 (2x - 1)³

.

f' (x) =  u' v + u v '

f' (x) =  30 x (3x² + 4)⁴ (2x-1)⁴  + (3x² + 4)⁵ (8)(2x-1)³

f' (x) =  (3x² + 4)⁴ (2x -1)³  [ 30 x (2x - 1)  + 8 (3x² +4) ]

f' (x) = (3x² + 4)⁴ (2x -1)³  (60x² -30x + 24 x² + 32 )

f' (x) = (3x² + 4)⁴ (2x -1)³  [84 x² -30x + 32 ]

Jwab E