Let y=5x2\displaystyle {y}={5}{x}^{{2}}.
Find the change in y\displaystyle {y}, Δy\displaystyle \Delta{y} when x=1\displaystyle {x}={1} and Δx=0.4\displaystyle \Delta{x}={0.4}  


Find the differential dy\displaystyle {\left.{d}{y}\right.} when x=1\displaystyle {x}={1} and dx=0.4\displaystyle {\left.{d}{x}\right.}={0.4}