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)=?