Question

Differentiate the following expression $w.r.t.x$
$y=(\log x{)}^4$

Answer 1

Given,

$y=(\log x{)}^4$

Now differentiating both sides with respect to $x$ we get,

$\frac{dy}{dx}=4(\log x{)}^3.\frac{1}{x}$

or, $\frac{dy}{dx}=\frac{4(\log x{)}^3}{x}$.