Question

If \[u\] and \[v\] are differentiable functions, what is \[(uv)'\]?

Options

• \[u'v-uv'\]

• \[u'v+uv'\]

• \[u'v'\]

• \[u'+v'\]

Answer 1

The product rule differentiates one factor at a time while retaining the other factor. Therefore, \[(uv)'=u'v+uv'\].