Does the differential d? y? represent the change in ? ? or the change in the linear approximation to f ? ?? Explain.

SOLUTION STEP 1 A small change in x is denoted by the differential dx. The corresponding change in f is approximated by the formula dy = f(x)dx. This means y = f(x + dx) f(x) dy = f(x)dx If x = dxis small,then y,which is the change in f is approximated by dy which is the change in the linear approximation .