Question

Please Help me with this questions!!!
b) Showing your calculations, approximate the slope of the graph at x = 2.5.

c) Compare the values of f '(2.5), f '(3), f '(3.5) and f '(5). Justify your answer.

Answer 1

Hello, using the definition of slope = deltay/deltax. Then approximate the coordinates of two points. So that you can calculate easily as my attached picture.

Answer 2

Similarly with question c), you just draw a tangent line at x=2.5,x=3,x=3.5,x=5 then do the approximate calculation. So that you can compare derivates at each point.

Answer 3

Thanks! That really helped!