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[" 7.Let "f(k)(x)=(1)/(k)(sin^(k)x+cos^(...

[" 7.Let "f_(k)(x)=(1)/(k)(sin^(k)x+cos^(k)x)" where "x in R],[" and "k>=1" .then "f_(4)(x)-f_(6)(x)" equals "],[[" (a) "1/6," (b) "1/3" JEE(MAIN) "-2014],[" (c) "1/4," (d) "1/12]]

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