The equation of the curve is (y = f(x)). The tangent at ((1, f(1))), ((2, f(2))) makes angles (π6), (π3), (π4) respectively with the positive direction of the x-axis. Then the value of:
a) (f'(x) = tan(π6))
b) (f'(x) = tan(π3))
c) (f'(x) = tan(π4))
d) (f'(x) = tan(π2))
