If f:R R is an even function then

MHT CET 2026 Mathematics question

If is an even function then

(A)
(B) is an even function
(C)
(D) is an odd functionCorrect

Answer: (D)

Solution

An even function satisfies for all . Differentiate both sides with respect to using the chain rule: , i.e. . This is exactly the definition of an odd function, so is odd,

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Question ID VK-100335