Let y=2x\displaystyle {y}={2}\sqrt{{x}}.
Find the change in y\displaystyle {y}, Δy\displaystyle \Delta{y} when x=5\displaystyle {x}={5} and Δx=0.1\displaystyle \Delta{x}={0.1}  


Find the differential dy\displaystyle {\left.{d}{y}\right.} when x=5\displaystyle {x}={5} and dx=0.1\displaystyle {\left.{d}{x}\right.}={0.1}