<p>Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ for each of the following, simplifying your answers.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$y={{\cos }^{-1}}\sqrt{1-{{x}^{2}}}$, $0 < x < 1$</div><p style="text-align: right;">[3]</p></li><li><div class="list-item-paragraph">${{x}^{2}}+xy+{{y}^{2}}=\sin x$</div><p style="text-align: right;">[4]</p></li></ol>

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ for each of the following, simplifying your answers.

$y={{\cos }^{-1}}\sqrt{1-{{x}^{2}}}$, $0 < x < 1$

2025 RI Techniques of Differentiation Assignment 6A Q1

2025 RI Techniques of Differentiation Assignment 6A Q1

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