The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...

A physicists and a biologist had a relationship, but there was no chemistry. Why is the p in pH lowercase and the H in pOH uppercase?  What does the p stand for anyway? These concepts are clearly and...

Here are the proofs for two logarithm properties. First, the Power Property of Logarithms is proved using the definition of a logarithm and the rules of exponents, and then the Quotient Property is proved in a similar fashion.

Challenge your students to explain why this interesting mathematical law works! Sal, accompanied by Vi Hart, demonstrates BenfordÕs Law. They challenge the listeners to see if they can give an intuitive reason why this law fairly...

Why do people perceive a bigger difference between the numbers one and two than between the numbers 1001 and 1002? In this interesting video, Sal is accompanied by Vi Hart. They talk about how we tend to think according to the...

In this thought-provoking video, Sal shows how a typical linear scale is different from a logarithmic scale. He plots numbers on both scales and compares them to show why the logarithmic scale is useful. This video gives an intuitive...

This video proves the helpful change of base formula for logarithms. The proof steps may need to be more intuitive to most logarithm learners, but the algebraic manipulation shown using logs is interesting.

Using the definition of a limit, various properties of logarithms, and a definition of e, Sal shows the proof of the derivative of ln x = 1/x. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó has a more straightforward...

Using the derivative of ln x, the chain rule, and the definition of a limit, Sal shows proof that the derivative of ex = ex. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó clearly explains this proof.

Sal gets to the heart of this video, clarifying that it's important to understand math "so you can apply it later on and not have to relearn everything every time." True to his word, Sal demonstrates ways to solve logs and exponents more...

Challenge your students to explain why this interesting mathematical law works! Sal, accompanied by Vi Hart, demonstrates BenfordÕs Law. They challenge the listeners to see if they can intuitively explain why this law fairly accurately...

Watch this video with your junior engineers or your higher-level mathematicians. In it, Drew builds half of an arch bridge with building blocks. There happens to be a magnetic board behind the blocks, on which he affixes a magnet for...