<ol class="abc-list"><li data-list-item-id="imported-item-block-0-item-0" data-list-item-path="imported-item-block-0-item-0"><div class="list-item-paragraph">Find \(\frac{\mathrm{d}}{\mathrm{d}x}\left(\frac{\ln 4x}{x}\right)\).<span class="inline-marks">[2]</span></div></li><li data-list-item-id="imported-item-block-0-item-1" data-list-item-path="imported-item-block-0-item-1"><div class="list-item-paragraph">Hence, find \(\int \frac{\ln 4x}{x^2} \,\mathrm{d}x\).<span class="inline-marks">[3]</span></div></li><li data-list-item-id="imported-item-block-0-item-2" data-list-item-path="imported-item-block-0-item-2"><div class="list-item-paragraph">Find the range of values of \(x\) for which \(\mathrm{f}(x) = \frac{\ln 4x}{x}\) is increasing.<span class="inline-marks">[3]</span></div></li></ol>

Find \(\frac{\mathrm{d}}{\mathrm{d}x}\left(\frac{\ln 4x}{x}\right)\).

Hence, find \(\int \frac{\ln 4x}{x^2} \,\mathrm{d}x\).

Find the range of values of \(x\) for which \(\mathrm{f}(x) = \frac{\ln 4x}{x}\) is increasing.

FHSS 2025 P1 Q7

FHSS 2025 P1 Q7