Question

What is the derivative of `y=log_10(2x)`?

Answer 1

see below

Explanation:

Use the Property
`color(red)(d/dx(log_bx)=1/(xln b)`

`y=log_10(2x)`

`color(blue)(y'=1/(2x ln 10) * 2`

`color(blue)(y'=1/(cancel2x ln 10) * cancel2`

`color(blue)(y'=1/(xln10)`