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Derivative as a Limit

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Let $$f$$ be the function defined by $$f(x) = \cos(2x)$$. What is the value of $$\displaystyle\lim_{x \to \frac{\pi}{4}} \frac{f(x) - f\left(\frac{\pi}{4}\right)}{x - \frac{\pi}{4}}$$?

A

$$-1$$

B

$$2$$

C

$$0$$

D

$$-2$$

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