Question

If $f\left(x\right)=x\log x$, then find f'(x).

• A. $1+x\log x$
• B. $1+x$
• C. $x+\log x$
• D. $1+\log x$

Answer 1

The correct option is D $1+\log x$

We have,

$f\left(x\right)=x\log x$

On differentiating w.r.t $x$, we get

$f^{\prime }\left(x\right)=\log x\times 1+x\times \frac{1}{x}$

$f^{\prime }\left(x\right)=\log x+1$

Hence, this is the answer.