4. Determine the domains of the functions defined by: (a) y = In(x + 1) (b) y = In 3x - 1 1 -x (c) y = In (x] SM 5. Determine the domains of the functions defined by: (a) y = In(x2 - 1) (b) y = In(In x) (c) y = In (In x) - 1 SM 6. Find the intervals where the following functions are increasing: (a) y = In(4 -x2) (b) y = x Inx (1 - Inx) 2 (c) y = 2x 7. Find the equation for the tangent to the graph of (a) y = In x at the three points with x-coordinates: 1, 5, and e; (b) y = xet at the three points with x-coordinates: 0, 1, and -2. I 8. Use logarithmic differentiation to find f' (x) /f(x) when: (a) f(x) =x2x (b) f (x) = Vx - 2(x2 + 1) (x4+ 6) (c) f(x) = x +1 1/3 x - - 1SM 9. Differentiate the following functions using logarithmic differentiation: (a) y = (2x)* ( b ) y = xx ( c) y = (Vx)*