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Problem 25 Medium Difficulty

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
$ y \sin 2x = x \cos 2y, (\pi /2, \pi /4) $

Answer

$$y-\frac{\pi}{4}=\frac{1}{2}\left(x-\frac{\pi}{2}\right), \text { or } y=\frac{1}{2} x$$

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Video Transcript

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