Maths Interactives
General
Methods
Specialist
·
Unit 1
Unit 2
Unit 3
Unit 4
Recent
Random
About
Review
Compare
Inbox
Home
·
Unit 3
· Topic 2
Topic 2: Differentiation of trigonometric functions and differentiation rules
Calculus of trigonometric functions
5 hours
Use the rules 𝑑 𝑑𝑥sin(𝑥) = cos(𝑥) and 𝑑 𝑑𝑥sin(𝑓(𝑥)) = 𝑓′(𝑥)cos(𝑓(𝑥)).
1 interactive
Use the rules 𝑑 𝑑𝑥cos(𝑥) = − sin(𝑥) and 𝑑 𝑑𝑥cos(𝑓(𝑥)) = −𝑓′(𝑥)sin(𝑓(𝑥)).
Model and solve problems that involve derivatives of trigonometric functions, with and without technology.
Differentiation rules
5 hours
Use the chain rule to determine the derivative of composite functions involving exponential, logarithmic and trigonometric functions, expressing derivatives in simplest and factorised form.
Use the product rule to determine the derivative of exponential, logarithmic and trigonometric functions, expressing derivatives in simplest and factorised form.
1 interactive
Use the quotient rule to determine the derivative of exponential, logarithmic and trigonometric functions, expressing derivatives in simplest and factorised form.
Solve problems that involve combinations of the chain rule, product rule and quotient rule to differentiate exponential, logarithmic and trigonometric functions.