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Example. Let f be a differentiable function that has an inverse. In the table below we give several values for both and J z ff 20 2 3 1 5 430 Compute Explanation. From the table above we see that Hence, by the inverse function theorem (/-¹')'(¹) 게 (2) at z = 1. 1-(3) f(3

Example. Let f be a differentiable function that has an inverse. In the table below we give several values for both fand f': =ff' 02 Compute Explanation. Note, From the table above we see that Hence, by the inverse function theorem Finally 10 1234 ++ (¹) '(0) = 1 43 (f ¹')'(0) (¹) '(0)=¹(z) at z=0. dz 0=/(2 250 f'(2) 1