Question

Carilah turunan pertama fungsi :
f(x) = (3x⁴ - 2x³ + x²) (2x-1)​

Answer 1

Jawaban:

rumus:

utk y = u×v

y' = u'v + uv'

mis:

u = 3x⁴-2x³+x² <=> u' = 12x³-6x²+2x

v = 2x-1 <=> v' = 2

f'(x) = (12x³-6x²+2x)(2x-1) + (3x⁴-2x³+x²)(2)

= 24x⁴-12x³+6x²-12x³+6x²-2x+6x⁴-4x³+2x²

= 30x⁴-28x³+14x²-2x