Question

What is \[\frac{d}{dx}(\log x)\] for \[x>0\]?

Options

• \[\log x\]

• \[\frac{1}{x}\]

• \[e^x\]

• \[\frac{1}{\log x}\]

Answer 1

For strictly positive \[x\], the standard derivative is \[\frac{d}{dx}(\log x)=\frac{1}{x}\]. The condition \[x>0\] is required for \[\log x\].