Question

The derivative of $(\log x)^x$ with respect to log x is

• A. $\left(\log x\right)^{x} \left[\frac{1}{\log x} + \log\left(\log x\right)\right]$
• B. $\left(\log x\right)^{x} \left[\log x + \frac{1}{\log\left(\log x\right)}\right]$
• C. $x \left(\log x\right)^{x} \left[\frac{1}{\log x} + \log\left(\log x\right)\right]$
• D. None of the above

Answer 1

Answer: (B)

$\left(\log x\right)^{x} \left[\log x + \frac{1}{\log\left(\log x\right)}\right]$

Answer 2

Answer (b) $\left(\log x\right)^{x} \left[\log x + \frac{1}{\log\left(\log x\right)}\right]$