suppose that f has an inverse and f(8)=4, f ' (8)=4/3 What is (f^-1) ' (4)
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If f has an inverse, f(a) = b, and f '(a) ≠ 0, then (f^(-1)) '(b) = 1/f '(a).
Your a and b are 8 and 4, respectively. Since f '(8) = 4/3 ≠ 0
(f^(-1)) '(4) = 1/(4/3) = 3/4.
Your a and b are 8 and 4, respectively. Since f '(8) = 4/3 ≠ 0
(f^(-1)) '(4) = 1/(4/3) = 3/4.