Differentials Consider the following functions and express the relationship between a small change in x and the corresponding change in y in the form dy = f’(x) dx. f(x)=2x +1

Solution 29E STEP 1 Let f be the function differentiable on an interval containingx.The small change in x is denoted by the differential dx. The corresponding change in f is approximated by the differential dy = f(x)dx STEP 2 Given the function f(x) = 2x+1 Then f (x) = 2 Therefore dy = f(x)dx dy = 2dx