Differential Calculus
Differentiating trigonometric, exponential, and logarithmic functions; the chain rule, product rule, and quotient rule.
Active lessons
5
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
Diagnostic
Take the topic test
A timed, ~60-minute test drawn at random across all 5 subtopics of this unit. You get a marked result, a predicted band, and a clear list of which subtopics to re-practise.
Unit pathway
Lesson pathway
5 of 5 active
Lesson 1
Standard Derivatives: Trig, Exponential and Logarithmic Functions
Use standard derivatives of trigonometric, exponential and logarithmic functions, including simple linear combinations and numeric evaluations.
Lesson 2
The Chain Rule
Differentiate composite functions using the chain rule, including powers, trigonometric, exponential and logarithmic composites.
Lesson 3
Product and Quotient Rules
Use product and quotient rules with standard derivatives, while avoiding unnecessary symbolic simplification.
Lesson 4
Applications with Extended Differentiation
Apply extended differentiation techniques to tangents, normals, rates of change and stationary point questions.
Lesson 5
Differentiation Techniques Exam Practice
Practise mixed HSC-style differentiation questions involving standard derivatives, chain rule, product rule, quotient rule and applications.