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Q)If the function f(x) = x 3 + e x/2 and g(x) = f -1 (x), then the value of f'(1) is..........? Sol) f(0) = 1, f'(x) = 3x 2 + 1/2 e x/2 => f'(g(x)) g'(x) = 1 Put x = 0 => g'(1) = 1/ f'(0) = 2.(here, cant understand this step)

Q)If the function f(x) = x3 + ex/2 and g(x) = f-1(x), then the value of f'(1) is..........?
Sol) 
        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.(here, cant understand this step)



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1 Answers

SAGAR SINGH - IIT DELHI
878 Points
13 years ago

Dear Student,

Please specify the point which you are not able to catch since its a simple problem...

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