just provide answer

2. Determine the average rate of change from x =1 to x =4 for the function y = x2 using the difference quotient. 3. Write a difference quotient that can be used to estimate the slope of the tangent to the function y=f (x) at x= 4. 4. State the limit of each sequence, if it exists. If it does not exist, explain why. a) 1, -1, 1, -1, 1, -1, 1, -1, ... b) 5.9, 5.99, 5.999, 5.999 9, 5.999 99, 5.999 999, ...5. Evaluate the limit x- 4 a) lim x-4 1x - 2 b) lim x +x -2 x-+1 x-1 6. Use the first principles definition to differentiate y = x2 State the domain of the original function and of the derivative function