Differentiate \(\frac{6x^3 - 5x^2 + 1}{3x^2}\) with respect to x

A.

\(\frac{2 + 2}{3x^3}\)

B.

2 + \(\frac{1}{6x}\)

C.

2 - \(\frac{2}{3x^3}\)

D.

\(\frac{1}{5}\)

Correct answer is C

\(\frac{6x^3 - 5x^2 + 1}{3x^2}\)

let y = 3x2

y = \(\frac{6x^3}{3x^2}\) - \(\frac{6x^2}{3x^2}\) + \(\frac{1}{3x^2}\)

Y = 2x - \(\frac{5}{3}\) + \(\frac{1}{3x^2}\)

\(\frac{dy}{dx}\) = 2 + \(\frac{1}{3}\)(-2)x-3

= 2 - \(\frac{2}{3x^3}\)