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 $ .