Quick questions on Further differentiation and applications (TCE Mathematics Methods, Tasmania)

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is product rule?

Show answer

y = u\,v

then

\dfrac{dy}{dx} = u'v + uv'

What is quotient rule?

Show answer

y = \dfrac{u}{v}

then

\dfrac{dy}{dx} = \dfrac{u'v - uv'}{v^{2}}

What is quotient rule numerator order?

Show answer

It is

u'v - uv'

, not

uv' - u'v

. The wrong order flips the sign of the whole derivative.

What is not classifying the stationary point?

Show answer

Solving

f'(x) = 0

only locates candidates. You must confirm whether each is a maximum, minimum or inflection before answering.

Have a question we have not covered?

This dot-point answer is short enough that we have not extracted many short questions yet. Read the full dot-point answer or ask Mo, our study assistant, in the chat for follow ups.