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What is chain rule for function \(w = f(x, y)\) ? To use this rule, find the derivative of \(w = xy\) w.r.t. \(t\) along the path \(x = \cos t,\ y =…

BIT Basic Mathematics · 2079 · Solved Question with Answer

What is chain rule for function \(w = f(x, y)\)?

To use this rule, find the derivative of \(w = xy\) w.r.t. \(t\) along the path \(x = \cos t,\ y = \sin t\).

Also, find derivative of \(w\) at \(t = \frac{\pi}{2}\).

Solution

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