Differential coefficient of x^3 with respect to x^2 is - Vidyadip

MCQ

Differential coefficient of ${x^3}$ with respect to ${x^2}$ is

A
${{3{x^2}} \over 2}$
✓
${{3x} \over 2}$
C
${{3{x^3}} \over 2}$
D
${3 \over {2x}}$

✓

Answer

Correct option: B.

${{3x} \over 2}$

b
(b) $\frac{{d{x^3}}}{{d{x^2}}} = \frac{{\frac{d}{{dx}}({x^3})}}{{\frac{d}{{dx}}({x^2})}} = \frac{{3{x^2}}}{{2x}} = \frac{3}{2}x$.

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