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Let the function f(x) and g(x) be invers...

Let the function f(x) and g(x) be inverse of each other then `f(g(x)=g(f(x))=x f prime(g(x))g prime(x)=g prime(f(x))f prime(x)=1` If `dy/dx` exist and `(dy)/(dx)!=0,` then `(dx)/(dy)=1/((dy)/(dx)) or (dy)/(dx)*(dx)/(dy)=1 or (dy)/(dx)=1/((dx)/(dy))[(dx)/(dy)!=0]`

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