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If $f(x)=2 x^6+3 x^4+4 x^2$ then $f(x)$ is
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Verified Answer
The correct answer is:
An odd function
$\begin{aligned}
& f(x)=2 x^6+3 x^4+4 x^2 \\
& \quad f(-x)=2(-x)^6+3(-x)^4+4(-x)^2=f(x)
\end{aligned}$
$\Rightarrow f(x)$ is an even function and derivative of an even function is always odd.
& f(x)=2 x^6+3 x^4+4 x^2 \\
& \quad f(-x)=2(-x)^6+3(-x)^4+4(-x)^2=f(x)
\end{aligned}$
$\Rightarrow f(x)$ is an even function and derivative of an even function is always odd.
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