Using differentials, find the approximate value of each of the following up to 3 places of decimal.


Consider y = √x.


Let x = 49 and Δx = 0.5. Then, we get


Δy =


= √49.5-√49


= √49.5 – 7


= √49.5 = Δy + 7


Now, dy is approximately equal to Δy and is given by:


dy =



= 0.035


Therefore, the approximate value of is 7.035.


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