If f(x) = 2 x^6 + 3 x^4 + 4 x^2 then f'(x) is - Vidyadip

MCQ

If $f(x) = 2{x^6} + 3{x^4} + 4{x^2}$ then $f'(x)$ is

A
Even function
✓
An odd function
C
Neither even nor odd
D
None of these

✓

Answer

Correct option: B.

An odd function

b
(b) $f(x) = 2{x^6} + 3{x^4} + 4{x^2}$

$f( - x) = 2{( - x)^6} + 3{( - x)^4} + 4{( - x)^2} = f(x)$

==> $f(x)$ is an even function and derivative of an even function is always odd.

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