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If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))...

If `f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l)` , then `f^(prime)(x)` is equal to (a) 1 (b) 0 (c) `x^(l+m+n)` (d) none of these

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`f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l)`
`f(x)=frac{x^(l^2+m^2+n^2+lm+mn+nl)}{x^(l^2+m^2+n^2+lm+mn+nl)}`
`f(x)=1`
`f'(x)=0`
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