The differential coefficient of x^6 with respect to x^3 is - Vidyadip

MCQ

The differential coefficient of ${x^6}$ with respect to ${x^3}$ is

A
$5{x^2}$
✓
$2{x^3}$
C
$5{x^5}$
D
$3{x^3}$

✓

Answer

Correct option: B.

$2{x^3}$

b
(d) Let $y = {x^6}$ and $z = {x^3}$;

$\therefore \frac{{dy}}{{dz}} = \frac{{dy/dx}}{{dz/dx}} = \frac{{6{x^5}}}{{3{x^2}}} = 2{x^3}$

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