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

Assessment: JAMB UTME - Mathematics - 1997 Subject: General Mathematics

Question 1 Report

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

2 +

\frac{1}{6 x}

2 -

\frac{2}{3 x^{3}}

\frac{1}{5}

Answer Details

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

let y = 3x2
y =

\frac{6 x^{3}}{3 x^{2}}

-

\frac{6 x^{2}}{3 x^{2}}

+

\frac{1}{3 x^{2}}

Y = 2x -

\frac{5}{3}

+

\frac{1}{3 x^{2}}

\frac{d y}{d x}

= 2 +

\frac{1}{3}

(-2)x-3
= 2 -

\frac{2}{3 x^{3}}

Related Questions

Everything you need to excel in your exams