Q 1: A derivative limp-+0 log(eth)-1 is (A) f'(e), where f (x) = logx. (B) f'(e), where f (x) = logz (C) f'(1), where f(x) = log x. (D) f'(0), where f(x) = log . Q 2: Another derivative The derivative of f : R - R. f(x) = xx|, at x = 0 (A) is 0. (B) does not exist, because |x| is not differentiable at r = 0. (C) does not exist, because f is defined piecewise. (D) does not exist, because the left and right hand limits do not agree. Q 3: Related rate of change Imagine a cube that is gradually increasing in size. If the lengths of the sides of the cube are growing at 2cm/s then the volume of the cube will be growing at (A) 8 . (current side lengths) cm3 /s.\f