Correction: In the last example, after adding and subtracting x, we have f(x)= x – x/(1+e^x)

Correction: In the last example, after adding and subtracting x, we have f(x)= x – x/(1+e^x)
The following exercise is optional, and will not be collected. Show your work in each step as we do in recitations.
The following exercises are optional, and will not be collected. Show your work in each step as we do in recitations.
These exercises will not be collected or graded. These are just for you to practice more. Show your work, give reasoning in solutions.