Back to the full dot-point answer
QLDMath MethodsQuick questions
Unit 3: Further calculus and statistics
Quick questions on Product, quotient and chain rules in combination (QCE Mathematical Methods Unit 3)
3short 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 standard derivatives (the library)?Show answer
The rules above act on the standard derivatives. Memorise these.
What is choosing the rule from the structure?Show answer
The first decision is to read the outermost structure of the expression. If the whole thing is two factors multiplied, it is a product; if it is one expression divided by another, it is a quotient; if it is one function applied to another, it is a composition needing the chain rule. Only after fixing the outer rule do you differentiate the inner parts, which may themselves need further rules. Mislabelling the outer structure (treating a composition as a product, say) is the most common source of error, so naming it explicitly before differentiating is worth the moment it takes.
What is not simplifying?Show answer
QCAA frequently allocates a mark for a clean final form. After a product or quotient rule, look for common factors and factor them out.
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.