Construct the clamped cubic spline using the data of Exercise 4 and the fact that a. f'(0)

Question:

Construct the clamped cubic spline using the data of Exercise 4 and the fact that
a. f'(0) = 2 and f'(0.5) = 5.43656
b. f'(−0.25) = 0.437500 and f'(0.25) = −0.625000
c. f'(0.1) = −2.8004996 and f'(0) = −2.9734038
d. f'(−1) = 0.15536240 and f'(0.5) = 0.45186276