Question

How to do this problem?


Must find the dy/dx
y =log 10 e^x

Answer 1

@Nnesha

Answer 2

@DanJS

Answer 3

hmm sorry
i havn't learned this stuff yet
so sorry :(

Answer 4

This is pretty helpful http://oregonstate.edu/instruct/mth251/cq/Stage6/Lesson/logDeriv.html

If you don't want to look at the website, the general formula for the derivative of a log of some arbitrary base b is:
\[\frac{d}{dx} \log_a(u)= \frac{1}{u \ln(a)} \frac{du}{dx}\]
So with the parameters from your problem plugged in, you'd get this:
\[\frac{d}{dx} \log_{10}(e^x)= \frac{1}{e^x \ln(10)} \frac{d\left(e^x\right)}{dx}\]