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If the function f(x) = x 3 + e x/2 and g(x) = f -1 (x), then the value of g'(1) is

  If the function f(x) = x3 + ex/2 and g(x) = f-1(x), then the value of g'(1) is

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1 Answers

vikas askiitian expert
509 Points
10 years ago

  f(0) = 1,

f'(x) = 3x2 + 1/2 ex/2

        => f'(g(x)) g'(x) = 1

         Put x = 0 => g'(1) = 1/f'(0) = 2.

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