Let \(f(x)>0\) for all \(x\) and \(f^{\prime}(x)\) exists for all \(x\). If \(f\) is the inverse function of \(h\) and \(h^{\prime}(x)=\frac{1}{1+\log x} .\) Then \(f^{\prime}(x)\) will be
(A) \(1+\log (f(x))\)
(B) \(1+f(x)\)
(C) \(1-\log (f(x))\)
(D) \(\log f(x)\)