If f_k(x)=1/k(sin ^k x+cos ^k x), where x ∈ R, k ≥ 1, then f_4ẋ(x)-f_6(x) is equal to [2014 JEE M...

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Let fK(x) = 1/k (sink x + cosk x) where x ∈ R | IIT JEE Mains-2014 | Mathematics Let fK(x) = 1/k (sink x + cosk x) where x ∈ R | IIT JEE Mains-2014 | Mathematics
fk(x)=1/k(sin^k(x)+cos^k(x)) and f4(x)-f6(x) is equal to fk(x)=1/k(sin^k(x)+cos^k(x)) and f4(x)-f6(x) is equal to
If f_k (x) = 1/k ( sin^k (x) + cos^k( x) ), where x ∈ R, k ≥ 1, then f_4 (x) - f_6 (x) is equal to If f_k (x) = 1/k ( sin^k (x) + cos^k( x) ), where x ∈ R, k ≥ 1, then f_4 (x) - f_6 (x) is equal to