Limits Continuity And Differentiability Question 17
Question: What is the derivative of $ x^{3} $ with respect to $ x^{2} $ ?
Options:
A) $ 3x^{2} $
B) $ \frac{3x}{2} $
C) x
D) $ \frac{3}{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ U=x^{3} $
$ \frac{dU}{dx}=3x^{2}…(1) $
$ V=x^{2} $
$ \frac{dV}{dx}=2x….(2) $ From (1) and (2) $ \frac{dU}{dV}=\frac{3x^{2}}{2x}=\frac{3}{2}x $
BETA
