1. (10 pts) Find the derivative for each of the following functions, simplify if possible. (a) f(x) = (23 - In(a)) (723 + cos(x) ) (b) g(x) = tan(x)2. (10 pts) Consider the graph of f(a) below Sketch a graph of f'(x) 3. (10 pts) Find the second derivative dry dog of the function y = 5e10r +2x4. (10 points) (3) Use the implicit differentiation) to nd 3\" SIMPLIFY as much as possible. 712 +21y2 :15 7 6142 (1:) Find the tangent line In the given curve at the point (1.1). 5. (10 points) Find the derivative of the following functions. Simplify if possible. (a) f(x) = log(1 - 2x) (b) k(x) = sin '(Vz ez) (e) g(x) = V6.x2 + 100