Differentiation Question 114
Question: If $ y=(1+{x^{1/4}})(1+{x^{1/2}})(1-{x^{1/4}}), $ then $ \frac{dy}{dx} $ is equal to
Options:
A) 1
B) -1
C) x
D) $ \sqrt{x} $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] we have, $ y=(1+{x^{1/4}})(1+{x^{1/2}})(1-{x^{1/4}}) $
$ =(1-{x^{1/2}})(1+{x^{1/2}})=1-x $
$ \therefore \frac{dy}{dx}=-1 $
BETA
