Using the binomial theorem and definition of a limit, Sal shows a proof that the derivative of xn equals nxn-1.

Using the definition of a limit, Sal proves that the derivative of x or x1/2 equals _ x-1/2.

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.