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.

Instagram Resources:

[felixling]

Between the third and fourth line of the equation what happens the x that is multiplied by ln a? How does it disappear?

[abidzaman]

Hi, in my textbook it says when you differentiate ln x you get 1/x but in your video you said the derivative of ln a was ln a

[tboyemmanuel]

Where did the x go to when you got x • lna?