Finding approximate value

Question

Find the approximate change in1/x when x=1and Delta x=0.2

Answer 1

The approximate change is the slope of the straight line connecting the two endpoints of the interval: (x,1/x) and (x+h,1/(x+h))

 

Approximate Change = [1/(x+h) - 1/x]/h

 

Plug in x = 1 and h = 0.2 and compute the answer.