Question

If $y=(logx{)}^3$ then $\frac{dy}{dx}=$

• A. $\frac{3(logx{)}^2}{x}$
• B. $3(logx{)}^2$
• C. $\frac{(logx{)}^2}{x}$
• D. $(log{)}^2$

Answer 1

The correct option is A $\frac{3(logx{)}^2}{x}$

$y=(\log x{)}^3$

Differentiating wrt x

$\frac{dy}{dx}=3(\log x{)}^2\ast \frac{1}{x}=\frac{3(\log x{)}^2}{x}$