How to differentiate y=a^x quickly (implicit and logarithmic differentiation)

How to differentiate y=a^x quickly (implicit and logarithmic differentiation)

Rules you need to know:

1. dy/dy * dy/dx = dy/dx

2. ln(a^x)=x*ln(a)

3. If y=nx, dy/dx=n.

... https://www.youtube.com/watch?v=mpkGIWIHmw4