<ol class="i-list"><li><div class="list-item-paragraph">If $y=\ln \left( \frac{{{\mathrm{e}}^{\sqrt{x}}}}{{{\cos }^{3}}x} \right)$, find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x$, where $0 < x < \frac{\pi }{2}$.</div><p style="text-align: right;">[2]</p></li><li><div class="list-item-paragraph">Given that ${{y}^{\frac{1}{x}}}={{x}^{\ln x}}$, find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x$ and $y$.</div><p style="text-align: right;">[3]</p></li></ol>

If $y=\ln \left( \frac{{{\mathrm{e}}^{\sqrt{x}}}}{{{\cos }^{3}}x} \right)$, find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x$, where $0 < x < \frac{\pi }{2}$.

Given that ${{y}^{\frac{1}{x}}}={{x}^{\ln x}}$, find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x$ and $y$.

Implicit Differentiation

Techniques of Differentiation

International Baccalaureate Mathematics: Analysis and Approaches Higher Level

2022 ACJC Promo Q1

2022 ACJC Promo Q1

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