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If f(g(x)) = x and g(f(x)) = x then g(x) is the inverse of f(x) . (g'(x))f'(x) = 1 implies g'(f(x))=1/(f'(x)) Let g(x) be the inverse of f(x) such that f'(x) =1/(1+x^5) ,then (d^2(g(x)))/(dx^2) is equal to |
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Answer» `1/(1+(g(X))^5)` |
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