JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Understanding +4 | -1

Let

{f}({x})

be a differentiable even function. Consider the following statements:

(I)

{f}^{\prime}({x})

is an even function.

(II)

{f}^{\prime}({x})

is an odd function.

(III)

{f}^{\prime}({x})

may be even or odd.

Which of the above statements is/are correct?

View answer and explanation

Correct option: B

Only II

Option B is correct because the derivative of an even function is always an odd function.

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