3. [10 pts total] Consider the oneparameter family of functions {(x) = 259'". Show yOur workforAtt ports below. a. (6 pts] Determine the xcoordinate of the critical point of this function in terms of b. b, (4 pts] Determine the value of b so that this function has a local maximum at the point (5. 59"). 4. [10 ptsi A 3 meter long ladder is leaning against a wall and the floor is slippery. Ifthe ladder is sliding so that the bottom is moving at a constant speed of 1 mfsec away from the wall, how fast is the top of the ladder maying down the wall at the instant when the bottom ofthe ladder is 2 meters away from the wall? Show your work {include a diagram!) and include units in your