Could someone please help me with below questions.

With question 1. Please provide calculation, ignore the hint.

1. (a] Use technology to complete a table of values for y = 2" and for -45 154. dx Hint: Use - under Cak on the graphics calculator or other technologies. (b) Draw scatterplots of y = 2' and on the same set of axes for -4 5 x $ 4. (c] By inspection of the scatterplots in question 1.(b], give reasons why the derivative ( ]ofy = 2" Is an dy exponential function. (d) (1] Use modelling techniques to find the derivative function of y = 2". It can be written in the form = = ab dx (li] Discuss the accuracy of your values of a and b. 2. Repeat the process in question 1. [leaving out part (b) and (c]] for: () y = (2.2)" (ii] y = (2.4)" (ii) y =(2.6)" (iv) y= (2.8)" (iv) y= 3' 3. Using questions 1. and 2. Suggest a relationship between exponential functions and their derivative functions