# How to improve on your VCE Mathematics

VCE Mathematics VCE Mathematics Subscription Improve your VCE Mathematics skills The Victorian Certificate of Education (VCE) in mathematics can be challenging, many students find themselves struggling. An assumption that the majority of learners have a good background in VCE Mathematics already may be one of the contributors. The fact of the matter is that we […]

# Follow these Preliminary Chemistry study tips and success will be guaranteed

Preliminary Chemistry Course Preliminary Chemistry Subscription Preliminary Chemistry Study Tips For finding Preliminary Chemistry Study Tips, preliminary chemistry marks for year eleven may not count towards your HSC chemistry exam results but it will definitely influence how you perform and also your future life. It pays to give it the deserved attention so as to […]

# Hack your way to success in HSC Chemistry

HSC Chemistry Course HSC Chemistry Subscription Success in HSC Chemistry We all want a good marks in chemistry, not just to make you feel good but also to improve your chances of landing a good job. Knowing how to maximise your HSC Chemistry mark is crucial, forget about those saying that the subject is hard, […]

# How to Ace the HSC Maths Exams

HSC Maths HSC Maths Extension 1 HSC Maths Extension 2 HSC Maths General 2 Tips for Success in HSC Maths, Extension 1, Extension 2, and Maths General Our team works with students all over the world, and we are aware that there are different testing and courses found in various areas and regions. In New […]

# Preliminary Physics Study Guide for year 11

Preliminary Physics Course Preliminary Physics Subscription Preliminary Physics Study Guide The preliminary physics syllabus is required study for your 11 students in New South Wales Australia who are going to be preparing for the HSC physics exam. Preliminary physics syllabus requirements of the introductory concepts which will eventually be required for the secondary year 12 […]

# How to Succeed in IB Maths

IB Maths Courses IB Maths Subscriptions Your One-Stop, Five-Step Guide for SL and HL Maths Victory There’s no feeling like the pride of completing a course and doing a great job. When it comes to IB Maths, we know all too well the challenges faced. That’s why our team does what it does – more […]

# How to succeed at HSC Physics Exam

The HSC physics Exam is a requirement for year 12 students in New South Wales. This university entrance exam otherwise called a higher school certificate is the international equivalent to an IB or SAT. We know many students internationally and locally will require this type of qualification in order to enter into a science or […]

# Logarithmic Differentiation

Our Courses Basic Rule of Logarithmic Differentiation $$ \displaystyle \dfrac{d}{dx}\log_e{x} = \dfrac{1}{x} \\ \dfrac{d}{dx}\log_e{f(x)} = \dfrac{f'(x)}{f(x)} $$ Practice Questions Question 1 Differentiate \( y = \log_{e}(3x) \). \( \begin{aligned} \displaystyle \dfrac{d}{dx}\log_{e}(3x) &= \dfrac{(3x)’}{3x} \\ &= \dfrac{3}{3x} \\ &= \dfrac{1}{x} \end{aligned} \) Question 2 Differentiate \( y = \log_{e}(2x-1) \). \( \begin{aligned} \displaystyle \dfrac{d}{dx}\log_{e}(2x-1) &= \dfrac{(2x-1)’}{2x-1} […]

# Binomial Expansion | Binomial Theorem

Our Courses Binomial Expansion is based on two terms, that is binomial. Any expression of the form \( (a+b)^n \) is called power of a binomial. All binomials raised to a power can be expanded using the same general principles. \( \begin{aligned} \displaystyle (a+b)^1 &= a+b \\ (a+b)^2 &= (a+b)(a+b) \\ &= a^2+2ab+b^2 \\ (a+b)^3 […]

# Compound Interest | Series and Sequences

Our Courses Compound Interest is being used to calculate the total investment across over time. Suppose John invests $1000 in the bank. He leaves the money in the bank for 4 years, and are paid an interest rate of 10% per annum. The interest is added to his investment each year, so the total value […]

# Geometric Sequence | Math Help

Our Courses A geometric sequence is also referred as a geometric progression. Each term of a geometric sequence can be obtained from the previous one my multiplying by the same non-zero constant. For example, \(2, \ 6, \ 18, \ 54, \cdots \) is a geometric sequence as each term can be obtained by multiplying […]

# Arithmetic Sequence | Maths Help

An Arithmetic Sequence is a sequence in which each term differs from the previous one by the same fixed number. It cal also be referred to as an arithmetic progression. For example, 2, 5, 8, 11, … 10, 20, 30, 40, … 6, 4, 2, 0, 02, … Algebraic Definition of Arithmetic Sequence If \( […]

# General Term of a Number Sequence

The general term of a number sequence is one of many ways of defining sequences. Consider the tower of bricks. The first row has five bricks on top of the pile, the second row has six bricks, and the third row has seven bricks. If \( T_n \) represents the number of bricks in row […]

# Understanding Number Sequence

Number Sequence or progression is ordered list of numbers defined by a pattern or rule. The numbers in the sequence are said to be its numbers or its terms. A sequence which continues indefinitely is called an infinite sequence. A sequence which ends is called finite sequence. For example, 2, 5, 8, 11, … form […]

# Implicit Differentiation | Calculus Help

Implicit Differentiation for Calculus Problems This very powerful differentiation process follows from the chain rule. $$u = g(f(x)) \\ \frac{du}{dx} = g'(f(x)) \times f'(x)$$ We’ve done quite a few differentiation and derivatives, but they all have been differentiation of functions of the form \( y = f(x) \). Not all the functions will fall into […]

# Surd Equations Reducible to Quadratic | Math Algebra

Surd Equations Reducible to Quadratic | Math Algebra Surd Equations Reducible to Quadratic for Math Algebra is done squaring both sides for removing surds and radical expressions. Make sure to check whether the solutions are correct by substituting them into the original surd equations. Practice Questions for Surd Equations Reducible to Quadratic | Math Algebra […]

# Trigonometric Equations Reducible to Quadratic | Math Skills

Trigonometric Equations Reducible to Quadratic for Math Skills Trigonometric Equations Reducible to Quadratic for Math Skills are based on trigonometric identities such as; $$ \sin^2{x} + \cos^2{x} = 1 \\ 1 + \cot^2{x} = \csc^2{x} \\ \tan^2{x} + 1 = \sec^2{x} \\ $$ Practice Questions Question 1 Solve \( 2 \cos^2{x} – 3 \cos{x} + […]

# Exponential Equations Reducible to Quadratic | Math Help

Exponential Equations Reducible to Quadratic for Math Help Exponential Equations Reducible to Quadratic for Math Help is based on various index rules, such as; $$ a^{x+y} = a^x \times a^y \\ (a^x)^y = a^{xy} $$ Practice Questions of Exponential Equations Reducible to Quadratic Question 1 Solve \( 9^x – 10 \times 3^x + 9 = […]