Differentiation Question 187
Question: The differential coefficient of $ x^{6} $ with respect to $ x^{3} $ is
[EAMCET 1988; UPSEAT 2000]
Options:
A) $ 5x^{2} $
B) $ 3x^{3} $
C) $ 5x^{5} $
D) $ 2x^{3} $
Show Answer
Answer:
Correct Answer: D
Solution:
Let $ y=x^{6} $ and $ z=x^{3} $ ;
$ \therefore \frac{dy}{dz}=\frac{dy/dx}{dz/dx}=\frac{6x^{5}}{3x^{2}}=2x^{3} $ .
BETA
