3. Find the first and second derivatives of: (a) y = e- 3x (b) y = 2ers (c) y = el/x (d) y = 5212- 3x+1 SM 4. Find the intervals where the following functions are increasing: (a) y = x3 + exx (b) y = 5x2e -4x ( c ) y = xe -x2 5. Find the intervals where the following functions are increasing: (a) y = x2/e2x (b) y = ex - e3x e2x. (c) y = *+2 6. Find: (2 ) d dx ( elet ) ) ( b ) at ( et / 2 + e -1 /2 ) ( c ) d 1/3 dt et text (d) dz 7. Differentiate: (a) y = 5x ( b) y = x2* (c) y =x22x2 (d) y = ex 10x