Diketahui f(x)=4x-1/5x+3. Nilai f'(-2/5) adalah….
Jawaban:
17
Penjelasan dengan langkah-langkah:
f(x) = (4x – 1)/(5x + 3)
f'(x) = (4(5x + 3) – 5(4x – 1))/((5x + 3)^2)
= (20x + 12 – 20x + 5)/((5x + 3)^2)
= 17/((5x + 3)^2)
f'(-2/5) = 17/((5(-2/5) + 3)^2)
= 17/1
= 17