1) f'(x) = -3sinx, f'(П/6) = -3 sin(П/6) = -3 0.5 = -1.52) f'(x) = xsinx + cosx, f'(0) = 0cos(0) + cos(0) = 13) f'(x) = (cosx(1-x) - (-sinx))/(1-x)^2 = (cosx - xsinx + sinx)/(1-x)^2, f'(0) = (1-00+0)/1 = 14) f'(x) = 1 + 2sinxcosx, f'(П/6) = 1 + 2sin(П/6)cos(П/6) = 1 + 2(0.5)(sqrt(3)/2) = 1 + sqrt(3)5) f'(x) = -3csc^2(3x), f'(П/6) = -3csc^2(П/2) = -3 (1/0) = undefined
1) f'(x) = -3sinx, f'(П/6) = -3 sin(П/6) = -3 0.5 = -1.5
2) f'(x) = xsinx + cosx, f'(0) = 0cos(0) + cos(0) = 1
3) f'(x) = (cosx(1-x) - (-sinx))/(1-x)^2 = (cosx - xsinx + sinx)/(1-x)^2, f'(0) = (1-00+0)/1 = 1
4) f'(x) = 1 + 2sinxcosx, f'(П/6) = 1 + 2sin(П/6)cos(П/6) = 1 + 2(0.5)(sqrt(3)/2) = 1 + sqrt(3)
5) f'(x) = -3csc^2(3x), f'(П/6) = -3csc^2(П/2) = -3 (1/0) = undefined