Blog Stats
 1,328,919 views
Latest Updates
Singapore Maths Tuition

Singapore Maths Tuition
 Marbles Math Question
 Homeschool Math Challenging Puzzles
 7 Essential Abilities To Be A Successful Entrepreneur
 Going Hungry In Singapore
 GEP Test Format
 The Notorious Collatz conjecture
 Pinterest RSS Feed
 The Wisdom Of The Law – Homily by Archbishop William Goh (16 Feb 2020)
 Preparation Tips for Examination For MBA
 IGRUA ENTRANCE EXAM 2020
Archives
Maths Strategy Tuition
Follow me on Twitter
My Tweets
Tag Archives: proof
Sum of two metrics is a metric
It is quite straightforward to prove or verify that the sum of two metrics (distance functions) is still a metric. Suppose and are metrics. Define . Positivedefinite . . Symmetry . Triangle Inequality Note that it follows by induction that … Continue reading
Secondderivative Test For Extrema Of Functions Of Two Variables
Source: http://www.math.illinois.edu/~verahur/18.024/notesSD.pdf Excerpt: Proof of the secondderivative test. Our goal is to derive the secondderivative test, which determines the nature of a critical point of a function of two variables, that is, whether a critical point is a local minimum, a local maximum, … Continue reading
Posted in multivariable calculus
Tagged critical point, Math, Math tuition, Multivariable Calculus, proof, saddle point
Leave a comment
Proving Quotient Rule using Product Rule
Proving Quotient Rule using Product Rule This is how we can prove Quotient Rule using the Product Rule. First, we need the Product Rule for differentiation: Now, we can write Using Product Rule, Simplifying the above will give the Quotient … Continue reading
Infinite Primes Proof by Euclid
How do we know there are an infinite number of primes? Dr James Grime explains, with a bit of help from Euclid.