Functions Question 579
Question: If $ f(x)=2x^{6}+3x^{4}+4x^{2} $ then $ f’(x) $ is
[DCE 2005]
Options:
A) Even function
B) A function is odd if f(-x) = -f(x) for all x in its domain.
C) Neither even nor odd
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ f(x)=2x^{6}+3x^{4}+4x^{2} $ $ f(-x)=2{{(-x)}^{6}}+3{{(-x)}^{4}}+4{{(-x)}^{2}}=f(x) $
Þ $ f(x) $ is an even function and derivative of an even function is always odd.
BETA
