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Derivatives and Tangent Lines

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November 7th, 2022

6. Graph y=sinx + cosx restricted to 0<=x<=pi/2. Locate the points on the graph at which the tangent line appears to have slope zero. Then find those x, 0<=x<=pi/2 , for which the function f(x)=sinx+cosx has a horizontal tangent line. (You need to solve the equation: f’ (x)=0 for 9<x< pi/2 )

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