Question

How to differentiate `ln 5x^4` help?

Answer 1

`d/dx (ln(5x^4)) = 4/x`

Explanation:

Using the properties of logarithms:

`ln(5x^4) = ln5+4lnx`

hence:

`d/dx (ln(5x^4)) = d/dx (ln5+4lnx) = 4d/dxlnx = 4/x`