## Task Condition

Find the derivative.

$y=\ln \ln ^{3} \ln ^{2} x$
## Solution

$y^{\prime}=\left(\ln \ln ^{3} \ln ^{2} x\right)^{\prime}=\frac{1}{\ln ^{3} \ln ^{2} x} \cdot 3 \ln ^{2} \ln ^{2} x \cdot \frac{1}{\ln ^{2} x} \cdot 2 \ln x \cdot \frac{1}{x}=$

$$
=\frac{3}{\ln ^{2} \ln ^{2} x} \cdot \frac{2}{\ln x} \cdot \frac{1}{x}=\frac{6}{x \cdot \ln x \cdot \ln \ln ^{2} x}
$$

## Problem Kuznetsov Differentiation 8-30