Question

Tolong dibantu ya saya kurang paham nomor 3 (a dan b) ​

Answer 1

Jawab:

turunan aljabar

nilai fungsi turunan

Penjelasan dengan langkah-langkah:

i) y = x⁵ + 3x⁻³ - x + 1

y' = 5x⁴ - 9 x⁻² - 1

x= -1

y' =  5(-1)⁴ - 9(-1)⁻² - 1

y' = 5(1) - 9/1 - 1

y' = 5 - 9 - 1

y' = - 5

.

ii)  y = 4/√x  + 6/ ∛x

y =  4. (x)^(-1/2)  + 6 . (x)^(-1/3)

y '= 4(-1/2) (x)^(-3/2) + 6 . (-1/3) (x)^(-4/3)

y' =  -2 / (x√x) - 2 /(x∛x)

x = 64

y' =  -2 / (64√64) - 2 /(64∛64)

y' =  - 2/ (64. (8) )  - 2/ (64 . (4))

y' = -1 /(64 . 4) -  2/(64.4)

y' = -3/ (64. 4)

y' = - 3/256