Quick questions on The product and quotient rules: WACE Year 12 Mathematics Methods Unit 3

Q: What is wrong numerator order in the quotient rule?

It is u'v-uv', not uv'-u'v. Reversing the order negates the whole derivative.

Q: What are sign slips with trig and exponential factors?

Track the minus from ddxcos x=-sin x carefully when it meets the minus in the quotient rule.

2short 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 wrong numerator order in the quotient rule?

Show answer

It is

u'v-uv'

, not

uv'-u'v

. Reversing the order negates the whole derivative.

What are sign slips with trig and exponential factors?

Show answer

Track the minus from

\dfrac{d}{dx}\cos x=-\sin x

carefully when it meets the minus in the quotient rule.

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