theorem Th2: :: INTEGRA9:2

for r being Real st r <> 0 holds
( (1 / r) (#) (exp_R * (AffineMap (r,0))) is_differentiable_on REAL & ( for x being Real holds (((1 / r) (#) (exp_R * (AffineMap (r,0)))) `| REAL) . x = (exp_R * (AffineMap (r,0))) . x ) )