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Derivative as a Limit

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Let ff be the function defined by f(x)=cos⁡(2x)f(x) = \cos(2x). What is the value of lim⁡x→π4f(x)−f(π4)x−π4\displaystyle\lim_{x \to \frac{\pi}{4}} \frac{f(x) - f\left(\frac{\pi}{4}\right)}{x - \frac{\pi}{4}}?

A

−1-1

B

22

C

00

D

−2-2

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