GATE XE (Engineering Sciences) 2012 - Question 18

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Section: Engineering Mathematics | Marks: 2

If ( ) sin( ) f x x x = and ( ) sin( ) g x x x = , then

Figure for question 18, GATE XE (Engineering Sciences) 2012

  • A. ( ) ( ) g x f x =
  • B. ( ) g x is an even function
  • C. The x-coordinates corresponding to the various local maxima are identical for both ( ) f x and ( ) g x
  • D. ( ) g x is differentiable at 0 x =

Answer: D. ( ) g x is differentiable at 0 x =

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