3. a) After looking closely at the problems and solutions presented in this activity, describe the patterns that you see emerge as you find the derivatives of simple functions like y=x, y=x, and y (Hint - It might be helpful to remember that, although y = = is written as a rational function, it can also be expressed as a power function. That is, it can be expressed in the form y=x") b) Using the patterns that you described in a), find the function that would produce a derivative of y = x. Prove your results.