Question

If \[u\] and \[v\] are differentiable functions, which formula is correct?

Options

• \[(u\pm v)'=uv'\pm u'v\]

• \[(u\pm v)'=u'\pm v'\]

• \[(u\pm v)'=u'v'\]

• \[(u\pm v)'=u'\pm v\]

Answer 1

The derivative of a sum or difference is the sum or difference of the derivatives. Thus, differentiating \[u\pm v\] gives \[u'\pm v'\].