Word Count : 225

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Consider the function ( f(x) = x - \sin x ) for ( x \in [0, \frac{\pi}{2}] ). To show that (\sin x < x), it is sufficient to show that ( f(x) > 0 ) for all ( x \in (0, \frac{\pi}{2}] ). First, compute the derivative of ( f ): [ f'(x) = 1 ________ _____ __________ _______ __________ _________ _____ _________ _____ ___.
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