Content
Learning Resources
Limits and Derivatives
The concept (and basic properties) of limits and derivatives
0 / 4 exercises completed
10 skills
Differentiation rules
Power rule, chain rule, product rule, quotient rule, derivatives of ex, ax, loga(x), trigonometric, and inverse trigonometric functions
0 / 2 exercises completed
13 skills
Tangents and normals
Definitions of tangent and normal, finding tangent and normal lines to a function
0 / 4 exercises completed
2 skills
Applications of the First Derivative
Increasing and decreasing intervals, stationary points (maxima and minima), and optimisation
3 skills
Second Derivatives and Applications
Definition of the second derivative, concavity, inflexion points
0 / 3 exercises completed
5 skills
n^th Derivative
Taking the nth derivative, inductive proofs with the nth derivative
1 skills
Related Rates
Types of related rates, implicit differentiation
0 / 2 exercises completed
6 skills
L'Hôpital's rule
A rule for evaluating limits of the form 0/0 or infinity/infinity
1 skills