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Question: Answered & Verified by Expert
If $\mathrm{f}(\mathrm{x})$ is an even function, then $\mathrm{P}^{\prime}(\mathrm{x})$ is
MathematicsFunctionsKCETKCET 2012
Options:
  • A an odd function
  • B an even function
  • C may be even or may be odd
  • D nothing can be said
Solution:
2905 Upvotes Verified Answer
The correct answer is: an odd function
Since, if $\mathrm{f}(\mathrm{x})$ is an even function, then $\mathrm{f}^{\prime}(\mathrm{x})$ is an odd function.

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