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Unformatted text preview: (iii) is decreasing when f ′ < 0, (iv) has a local max at x when f ′ ( x ) = 0 and f ′′ ( x ) < 0, (v) has a local min at x when f ′ ( x ) = 0 and f ′′ ( x ) > 0, (vi) is concave up when f ′′ > 0, (v) and concave down when f ′′ < 0. Inspection of the graphs thus shows that f : f ′ : f ′′ : ....
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This note was uploaded on 02/14/2012 for the course MATH 408 K taught by Professor Clark,c.w./hoy,r.r during the Spring '08 term at University of Texas at Austin.
- Spring '08