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: Option C
Explanation
(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})