In this video, I work through the 2016 NCEA Level 3 Calculus differentiation exam (AS91578 – Apply differentiation methods in solving problems) step by step.
We look at how to approach the questions, how to show the working needed for NCEA, and how the more demanding Merit and Excellence problems can be tackled.
Topics appearing in this exam include:
basic differentiation
the chain rule
product and quotient rules
trigonometric differentiation
exponential and logarithmic functions
parametric differentiation
gradients and tangents
stationary points
second derivatives and points of inflection
interpreting derivatives
related rates of change
optimisation
maximum and minimum problems
setting up equations from unfamiliar situations
mathematical proof using differentiation
This video is useful if you are studying NCEA Level 3 Calculus, preparing for AS91578, revising differentiation before the external exam, or working through NZQA past papers.
A good way to use the video is to attempt each question yourself first, then pause and compare your approach with the worked solution.
📚 Standard: AS91578
📈 Topic: Differentiation
🎓 Level: NCEA Level 3 Mathematics / Calculus
📝 Paper: 2016 NZQA examination
⭐ Credits: 6 External Credits
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