MATH 019 Lecture Notes - Lecture 14: Canter And Gallop, Inflection Point
29 Apr 2019
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3. f c x ) = ( 3 2+1 ) s f. = slopes of lines tangent t increasing decreasing. X is f increasing: c ) Slopes of tangent lines are decreasing f" c ) - f- x. C x )= it x f" c x ) f" is is decreasing negative. 9 i which intervals concave up ? ( b d ) f le f ) h ) which intervals. C a ( d. e ) concave down ? v inflection points : points on fix ) where the concavity changes line tangent above curve on one side , below other the on. Find all intervals on which fcx is concave up , concave down and find any inflection points. Step 4 : sign chart for f" flx ) f. Cx ) r f" (4) = concave. :c - a. a ) f-" ( x ) - Iie: reconceive i fix ) upu ! canter f ( x )
