Differential Calculus
If the function f(x) = x3 + ex/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
1 Answer
vikas askiitian expert
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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