Derivatives of common functions

3 videos
We told you about the derivatives of many functions, but you might want proof that what we told you is actually true. That's what this tutorial tries to do!

Proof: d/dx(ln x) = 1/x

VIDEO 9:52 minutes
Taking the derivative of ln x

Proof: d/dx(e^x) = e^x

VIDEO 4:40 minutes
Proof that the derivative of e^x is e^x.

Proofs of derivatives of ln(x) and e^x

VIDEO 12:27 minutes
Doing both proofs in the same video to clarify any misconceptions that the original proof was "circular".