# How to get top marks in VCE Mathematical Methods Units 3 & 4

Pass your VCE Mathematical Methods Units 3 & 4 with flying colours You aspire to get high marks in your VCE Mathematical Methods Units 3 & 4, which is getting a score of forty or above. It isn’t going to be easy but with dedication, hard work and adequate practice you’ll get a boost for […]

# Tips on how to study VCE specialist mathematics Units 3 & 4

You don’t need to be a genius to pass VCE specialist mathematics units 3 & 4 I’m sure you’ve read those articles that claim VCE specialist mathematics units 3 & 4 is only for geniuses. They tell us that you have to be very good in math to make it in this subject. The truth […]

# How to improve on your VCE Mathematics

Share0 Share +10 Tweet0 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 […]

# How to Succeed in IB Maths

Share0 Share +10 Tweet0 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 […]

# Logarithmic Differentiation

Share0 Share +10 Tweet0 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} […]

# Binomial Expansion | Binomial Theorem

Share0 Share +10 Tweet0 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) \\ […]

# Compound Interest | Series and Sequences

Share0 Share +10 Tweet0 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, […]

# Geometric Sequence | Math Help

Share0 Share +10 Tweet0 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 […]

# Arithmetic Sequence | Maths Help

Share0 Share +10 Tweet0 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 […]

# General Term of a Number Sequence

Share0 Share +10 Tweet0 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 […]

# Understanding Number Sequence

Share0 Share +10 Tweet0 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, […]

# Implicit Differentiation | Calculus Help

Share0 Share +10 Tweet0 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 […]

# Surd Equations Reducible to Quadratic | Math Algebra

Share0 Share +10 Tweet0 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 […]

# Trigonometric Equations Reducible to Quadratic | Math Skills

Share0 Share +10 Tweet0 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} […]

# Logarithmic Equations Reducible to Quadratic | Math Online Tutoring

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# Exponential Equations Reducible to Quadratic | Math Help

Share0 Share +10 Tweet0 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 […]

# Equations Reducible to Quadratic by Substitution | Learn Math

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# Fraction Equations Reducible to Quadratic | Free Math Help

Share0 Share +10 Tweet0 Fraction Equations Reducible to Quadratic | Free Math Help iitutor provides full explains of Fraction Equations Reducible to Quadratic for Free Math Help. \( \begin{aligned} \displaystyle \require{color} x+\frac{a}{x} &= b \\ x^2 + a &= bx \\ x^2 – bx + a &= 0 \\ \end{aligned} \) Once, the equation forms […]

# Algebra Equations Reducible to Quadratic | Math Help

Share0 Share +10 Tweet0 Algebra Equations Reducible to Quadratic Form | Math Help Algebra Equations Reducible to Quadratic Form for Math Help is done by factorise mostly. In general, if an equation that is not in quadratic form can be transformed to the form of $$aX^2+bX+c=0$$ where \(X\) is an expression in some other variable […]

# Best Examples of Mathematical Induction Inequality

Share0 Share +10 Tweet0 Our Courses Mathematical Induction Inequality Proofs Mathematical Induction Inequality is being used for proving inequalities. It is quite often applied for the subtraction and/or greatness, using the assumption at the step 2. Let’s take a look at the following hand-picked examples. Practice Questions for Mathematical Induction Inequality Basic Mathematical Induction Inequality […]