PDF-Concavity and the Second Derivative Test If is a fun

Notation dx dx y 00 f 00 Thus dx dx dy dx Example Find the second derivatives of the following functions a 2 x y 00 2 b y 00 c 5 4 5 y 00 The 64257rst derivative

derivative concave line tangent concave derivative tangent line slope points function test interval point curve min intervals positive 64258 ection 64257 negative

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