Back to the full dot-point answer
NSWMaths AdvancedQuick questions
Year 12: Calculus
Quick questions on Applications of differentiation: stationary points, inflection, optimisation and related rates
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 sketching a curve, stage by stage?Show answer
A curve sketch is a procedure, and markers want the features labelled, not a freehand squiggle. Work through it in order for , a typical HSC cubic.
What is first derivative test?Show answer
Check the sign of just before and just after the stationary point.
What is second derivative test?Show answer
Evaluate at the stationary point.
What is not eliminating one variable in optimisation?Show answer
You cannot differentiate a function of two variables in Maths Advanced. Use the constraint to reduce to one.
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.