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How did my teacher get -1/4 in the last equation, can a tutor explain a step by step? Ex) Find the equation of the tangent

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How did my teacher get -1/4 in the last equation, can a tutor explain a step by step?

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Ex) Find the equation of the tangent line to the curve f(x) = sin (x) at x = fil x ) = 2 sin ( x ) cos ( x ) = sin ( 2 x ) f' ( * * ) = sin (] N W = $3 ( x -IT) 2

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