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Unformatted text preview: f 00 ( x )) and then Find inection points Find concave up ( f 00 > 0) and concave down ( f 00 < 0) interval Check that the second derivative tests matches with the rel max and min you found previously Use these info the sketch the graph. 1 1. Analyze the function y = x 4-4 x 3 + 5 2. Analyze the function y = x 2 + 1 x < 1 4-2 x x 1 3. Analyze the function y = x + sin ( x ) in the interval I = [0 , 6 ], and nd the abs extrema. 4. Find the slope of the tangent line to function f ( x ) = p sin ( x 2 ) cos 2 ( x ) in the point ( 1 2 ,f ( 1 2 )) 2...
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