Penjelasan dengan langkah-langkah:

FungSi

Turunan Pertama

1.a

f(x) = 3x-2

f'(x) = 3(1x⁰) - 2(0)

f'(x) = 3

1.b

f(x) = -2x²-x

f'(x) = -2(2x¹)-(1x⁰)

f'(x) = -4x-1

1.c

f(x) = -x⁴+2x²-4

f'(x) = -(4x³)+2(2x¹)-4(0)

f'(x) = -4x³+4x

1.d

f(x) = (3x-2)²

f'(x) = u² . u'

........[ u' → 3x - 2 = 3(x⁰) - 2(0) = 3 ]

f'(x) = 2(u¹) . 3

f'(x) = (2(3x-2)¹). 3

f'(x) = (6x-4)3

f'(x) = 18x-12

1.e

f(x) = 2x/x+1

....... [ 2x = a ] dan [ x+1 = b]

rumus

f'(x) = 1/b² × ( a'.b - a.b')

...... [ a' → 2x = 2 ] dan [ b' → x+1 = 1 ]

f'(x) = 1/(x+1)² × ( 2.(x+1) - 2x.(1))

f'(x) = 1/(x+1) × (2x+2 - 2x)

f'(x) =