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Unformatted text preview: f 00 ( x )) and then • Find inﬂection 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 ( x-2) 3 2. Analyze the function y = | x 2-4 | 3. Analyze the function y = cos ( x )-sin ( x ) in the interval I = [0 , 6 π ], and ﬁnd the abs extrema. 4. Find the slope of the tangent line to function f ( x ) = √ x 2-2 x cos ± πx ( x + 1) 2 ² in the point (1 ,f (1)) 2...
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