Khan Academy
Khan Academy: Power Rule: Proof: D/dx(x^n)
Video lesson proving the power rule for finding a derivative using the limit defintion of a derivative and the binomial theorem.
PatrickJMT
Patrick Jmt: Binomial Theorem Example 1
Easy to follow video shows how to expand the Binomial Theorem and provides an example. [11:20]
Khan Academy
Khan Academy: Binomial Theorem: Binomial Theorem (Part 3)
Intuition behind why binomial expansion involves combinatorics. This segment illustrates how the Binomial Theorem is directly related to combinatorics using (a + b)^3 as an example. Students can clearly see how a binomial expansion...
Khan Academy
Khan Academy: Expanding Binomials W/o Pascal's Triangle
Sal gives a "trick" for expanding large powers of binomials, without using Pascal's triangle. [4:58]
Khan Academy
Khan Academy: Polynomials: Expanding Binomials
Sal expands (3y^2+6x^3)^5 using the binomial theorem and Pascal's triangle. [8:41]
Khan Academy
Khan Academy: Polynomials: Pascal's Triangle and Binomial Expansion
Sal introduces Pascal's triangle and shows how we can use it to figure out the coefficients in binomial expansions. [8:19]
Khan Academy
Khan Academy: Polynomials: Intro to the Binomial Theorem
The Binomial theorem tells us how to expand expressions. The larger the power is, the harder it is to expand expressions like this directly. But with the Binomial theorem, the process is relatively fast! [13:15]