Turunan dari f(x) = 2x^3+3x^2+1 per x^2 adalah f'(x) = ... A. 3x+3 per 2 B. 2x-2 per x C. 2x^3 - 2 per x^2 D. 2x^3 - 1 per 2x^3 E. 2x^3 - 2 per x^3 tolong bantu

f(x) = u/v
f'(x) = (u' . v - u . v')/v²

f(x) = (2x^3 + 3x² +1)/x²
f'(x) = {(2x^3+3x² +1)' . x² - (2x^3+3x²+1)(x²)'} / (x²)²
f'(x) = {(6x²+6x) . x²) - (2x^3+3x²+1)(2x)}/(x^4)
f'(x) = (6x^4+6x^3 - 4x^4 - 6x^3 - 2x)/(x^4)
f'(x) = (2x^4 - 2x )/(x^4)
f'(x) = x (2x^3 - 2)/(x^4)
f'(x) = (2x^3 - 2)/(x^3) ............E

Bab Differensial
Matematika SMA Kelas X

f(x) = u/v
f'(x) = (u' v - u v')/v²

f(x) = (2x³ + 3x² + 1) / x²
f'(x) = ((6x² + 6x) . x² - (2x³ + 3x² + 1) . 2x) / (x²)²
f'(x) = (6x⁴ + 6x³ - 4x⁴ - 6x³ - 2x) / x⁴
f'(x) = (2x⁴ - 2x) / x⁴
f'(x) = (x (2x³ - 2)) / (x . x³)
f'(x) = (2x³ - 2) / x³

jawabannya E