PART I: 1. If f(x) = -x2 + x, which of the following will calculate the derivative of f(x) ? (a) lim - x2 + x+ Ax)-(-x2+x) (b) lim - (x +Ax)? + (x+Ax)-(-x2+x) Ax Ax-+0 Ax (x + Ax)' +(x+Ax)-(-x2+x) (d) (-*+x+4x)-(-x2+x) Ax Ax (e) none of these 3x 2. Differentiate: y = - x'+1 (a) 3 (b) 3 (c) 3x2 - 3 1+x2 2 x (1+x2 )3 (d) 3(1-x2) (1+ x2 )2 (e) none of these 3. Find dy / dx for y = Vx(3x -1) (a) 9x - 1 2Vx (b) = Vx - 1 (c) 3Vx (d) 3 2Vx (e) none of these 4. Find f'(x) for f(x) = sin 4x (a) 4cos' 4x (b) 3sin 4xcos 4x (c) cos' 4x (d) 12 sin 4xcos 4x (e) none of these