Question

How do you differentiate `y= log _10 x`?

Answer 1

`y=log_(10)xquad=>quady^'=1/(x*ln10)`

Explanation:

If you are looking for a proof you can visit:

https://socratic.org/questions/what-is-the-derivative-of-y-log-10-x

https://www.emathzone.com/tutorials/calculus/derivative-of-log-x.html

Answer 2

`dy/dx=1/(xln10)`

Explanation:

`y=log_(10)x`

`"consider change of base"`

`y=(lnx)/(ln10)`

`rArrdy/dx=1/(xln10)`