1. Differentiate. Simplify the answer (if possible). a) f(x) = x* Inx b) f ( x ) = - x2 Inx 2. Differentiate. Simplify the answer (if possible). a) f(x) = In(x3 +1) b) f (x) = In(e* + x?) 3. Differentiate. Simplify the answer (if possible). log? X a) f(x) =10*logx b) f (x) = - 1 + log 2 X 4. Differentiate. Simplify the answer (if possible). a) f(x) = log(e* +e-*) b) f(x) = log VI+ Inx1/3 5. Find f' (1) for f(x) = ex + Inx ex - Inx 5A Derivative of Logarithmic Function 6. Find the equation of the tangent line to the graph of y = f (x) = x In x at (1,0). 7. Find the local extrema for y = f(x) = vx Inx.In x 8. Find the point(s) of inflection for y = f(x) = X 9. Find the global extrema for f (x) =In(x + 1)over [-1,2]