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Carilah nilai turunan fungsi-fungsi berikut:

carilah nilai turunan fungsi-fungsi berikut:
1. f(x): x – 4x³, pada x = 2
2. f(x): 3/x+2 , pada x = 3

Turunan
y = x^n → y’ = n x^(n – 1)

1.
f(x) = x – 4x³

f'(x) = 1x⁰ – 4 . 3x²
f'(x) = 1 – 12x²

f'(2) = 1 – 12.2²
f'(2) = 1 – 48
f'(2) = -47

2.
f(x) = 3/(x + 2)
f(x) = 3(x + 2)^-1

f'(x) = 3 . (-1)(x + 2)^-2 . (x + 2)’
f'(x) = -3 (x + 2)^-2 . (1x⁰ + 0)
f'(x) = -3 (x + 2)^-2 . 1
f'(x) = -3/(x + 2)²

f'(3) = -3/(3 + 2)²
f'(3) = -3/25