<p>In triangle \(ABC\), \(AB\) is \(3\) cm and \(AC\) is \(2\) cm and angle \(BAC\) is increasing at a constant rate of \(0.1\) rad/s. Let angle \(BAC = \theta\).</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Express \(BC\) in terms of \(\theta\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the rate of change of \(BC\) when&nbsp;\(\theta = \frac{\pi}{3}\).</span></div></li></ol>

In triangle \(ABC\), \(AB\) is \(3\) cm and \(AC\) is \(2\) cm and angle \(BAC\) is increasing at a constant rate of \(0.1\) rad/s. Let angle \(BAC = \theta\).

Find the rate of change of \(BC\) when \(\theta = \frac{\pi}{3}\).

Applications of Differentiation

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