1.Use the function f and the given real number a to find (f -1)'(a).
f(x) = x3 − 5, a = 3
(f −1)'(3) =?
2. Verify that f has an inverse function. Then use the function f and the given real number a to find (f −1)'(a).
f(x) = cos(2x), 0 ≤ x ≤ π/2, a = 1
( f −1 )' (1)=?
3. Use the function f and the given real number a to find (f −1)'(a).
f(x) = x3 + 6x − 1, a = −8
(f −1)'(−8)=?