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  4. Lth→0 ( cos2(x+h)- cos2x/h) is equal to

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Q. $Lt_{h\to0} \frac{\cos^{2}\left(x+h\right)-\cos^{2}x}{h} $ is equal to

Limits and Derivatives

Solution:

The given limit $= \frac{d}{dx} (\cos^2 x)$
$ = - 2 \cos x \sin x = - \sin 2x$.