Area of Study 3 ยท Methods
Calculus
Differentiation and integration of polynomial, exponential, logarithmic and circular functions, and their applications.
10 free Methods lessons below, each with a plain English explanation, worked examples and an auto marked practice test including real VCAA exam questions with full solutions.
- Differentiation from First Principles
Understand differentiation from first principles the easy way, with plain English intuition, a clear visual, worked examples and an auto marked practice test. VCE Maths Methods Units 3 and 4.
- The Chain Rule
Master the chain rule the easy way, with plain English intuition, the inside and outside trick, worked examples and an auto marked practice test. VCE Maths Methods Units 3 and 4.
- Product and Quotient Rules
Master the product and quotient rules for differentiation the easy way, with plain English intuition, worked examples and an auto marked practice test. VCE Maths Methods Units 3 and 4.
- Derivatives of Exponential and Logarithmic Functions
Learn to differentiate exponential and logarithmic functions the easy way, with plain English intuition, worked examples and an auto marked practice test. VCE Maths Methods Units 3 and 4.
- Derivatives of Circular Functions
Learn how to differentiate sine, cosine and tangent the easy way, with plain English intuition, the chain rule for sin(kx), worked examples and an auto marked practice test. VCE Maths Methods Units 3 and 4.
- Tangents and Normals
Learn how to find the equation of the tangent and the normal to a curve at a point, with plain English intuition, worked examples and an auto marked practice test. VCE Maths Methods Units 3 and 4.
- Stationary Points and Their Nature
Learn stationary points the easy way, with plain English intuition, worked examples and an auto marked practice test. Find local maxima, minima and stationary points of inflection for VCE Maths Methods Units 3 and 4.
- Rates of Change and Optimisation
Master average versus instantaneous rate of change and solve maximum and minimum problems with calculus, the easy way. Plain English intuition, worked examples and an auto marked practice test. VCE Maths Methods Units 3 and 4.
- Antidifferentiation
Learn antidifferentiation the easy way, with plain English intuition, worked examples and an auto marked practice test. Reverse differentiation, find antiderivatives and the plus c constant. VCE Maths Methods Units 3 and 4.
- The Definite Integral and Area
Understand the definite integral and area under a curve the easy way, with plain English intuition, worked examples and an auto marked practice test. VCE Maths Methods Units 3 and 4.