<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Show \(\frac{\mathrm{d}}{\mathrm{d}x}[\ln(\tan 3x)] = \frac{k}{\sin 6x}\), stating the value of the constant \(k\).</span><span class="inline-marks">[4]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Differentiate \(\ln \sqrt{\frac{7x}{x^2 - 1}}\) with respect to \(x\).</span><span class="inline-marks">[3]</span></div></li></ol>

Show \(\frac{\mathrm{d}}{\mathrm{d}x}[\ln(\tan 3x)] = \frac{k}{\sin 6x}\), stating the value of the constant \(k\).

Differentiate \(\ln \sqrt{\frac{7x}{x^2 - 1}}\) with respect to \(x\).

2025 AHS PRELIMS P2 Q5

2025 AHS PRELIMS P2 Q5