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

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 12 - 5. continuity and differentiation→STD 12 - 5. continuity and differentiation — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

The number of positive integral solutions of the equation $\left| {\begin{array}{*{20}{c}}{{x^3} + 1}&{{x^2}y}&{{x^2}z}\\{x{y^2}}&{{y^3} + 1}&{{y^2}z}\\{x{z^2}}&{y{z^2}}&{{z^3} + 1}\end{array}} \right|$ $= 11$ is

$\int\limits^\frac{\pi}{2}_0\frac{1}{2+\cos\text{x}}\text{ dx}$ equals:

Choose the correct answer from the given four options. The maximum number of equivalence relations on the set $A = {1, 2, 3}$ are:

$\int\frac{\text{e}^{\text{x}}(1+\text{x})}{\cos^2(\text{x}\text{e}^{\text{x}})}\text{ dx}=$

If $\text{f(x)}=|\text{x}-\text{a}|\ \phi\ (\text{x}),$ where $\phi(\text{x})$ is continuous function, then:

If ${x^2} + {y^2} = t - {1 \over t},$ ${x^4} + {y^4} = {t^2} + {1 \over {{t^2}}}$, then ${x^3}y{{dy} \over {dx}} = $

Choose the correct answer in Exercise:
$\int^{\sqrt{3}}_{1}\frac{\text{dx}}{1+\text{x}^{2}}\text{equals}$

Let * be a binary operation on R defined by a * b = ab + 1. Then, * is:

The solution of $dy = \cos x(2 - y\cos {\rm{ec}}x)dx$ where $y = 2$ when $x = \frac{\pi }{2}$ is

The values of $p$ and $q$ for which the function $f\left( x \right) = \left\{ {\begin{array}{*{20}{c}}{\frac{{\sin \left( {p + 1} \right)x + \sin x}}{x}\;\;\;,x < 0}\\{q\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;,x = 0}\\{\frac{{\sqrt {x + {x^2}} \; - \;\sqrt x }}{{{x^{\frac{3}{2}}}}}\;,x > 0}\end{array}} \right.,$ is continuous for $\forall x\; \in R$ are