Differentiation Question 175

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

[RPET 1995]

Options:

A) $ \frac{3x^{2}}{2} $

B) $ \frac{3x}{2} $

C) $ \frac{3x^{3}}{2} $

D) $ \frac{3}{2x} $

Show Answer

Answer:

Correct Answer: B

Solution:

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