Question

Matematika:Diferensial
Tentukan turunan fungsi-fungsi berikut:
No.1-3

Answer 1

1.)
f(x) = y = (12 + 3x - x²)⁴

u = 12 + 3x - x²
u' = 3 - 2x
n = 4
n-1 = 3

y' = n • u' • u⁽ⁿ⁻¹⁾
y' = 4 • (3 - 2x) • (12 + 3x - x²)³
y' = (12 - 8x) • (12 + 3x - x²)³


2.)
f(x) = y = (x - 12)⁻⁴

u = x - 12
u' = 1
n = -4
n-1 = -5

y' = n • u' • u⁽ⁿ⁻¹⁾
y' = -4 • 1 • (x - 12)⁻⁵
y' = -4 • (x - 12)⁻⁵

3.)
f(x) = y = √(4x - 1)³

u = 4x - 1
u' = 4

n = 3/2
n-1 = ½

y' = n • u' • u⁽ⁿ⁻¹⁾
y' = ³/₂ • 4 • (4x - 1)^¹/₂
y' = 6 • √(4x - 1)