Given a function ?f? differentiable on its domain, write and explain the relationship between the differentials d ? x? and ?dy.

SOLUTION STEP 1 Given f is differentiable on its domain.Let f be differentiable on an interval containing x .Thus f(x) exists on its domain. The relationship between the differentials dx and dyis given by the corresponding change in f which can be written as dy = f(x)dx Where dx and dy are called the differential differences ,ie a very very small change in x and y respectively.