Differentiate 6x3−5x2+13x2 6 x 3 − 5 x 2 + 1 3 x 2 with respect to x

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

Question 1 Report

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

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

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Differentiation

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