Unformatted text preview: . .. . . . . . . . . . . . . .. . . .............................................................................................. . . . .. . . . . . ............................................... .. . . . . . . . . . . . . . . .. . . .............................................................................................. . . . .. . . . . . . . . . . . . . .. .............................................. Figure 5.4 The sine and cosine. Exercises In 1–13, ﬁnd all critical points and identify them as local maximum points, local minimum points, or neither. 1. y = x 2x ⇒ 2. y = 2 + 3 xx 3 ⇒ 3. y = x 39 x 2 + 24 x ⇒ 4. y = x 42 x 2 + 3 ⇒ 5. y = 3 x 44 x 3 ⇒ 6. y = ( x 21) /x ⇒ 7. y = 3 x 2(1 /x 2 ) ⇒ 8. y = cos(2 x )x ⇒ 9. f ( x ) = (5x ) / ( x + 2) ⇒ 10. f ( x ) =  x 2121  ⇒ 11. f ( x ) = x 3 / ( x + 1) ⇒ 12. f ( x ) = x 2 sin(1 /x ) x ± = 0 x = 0 13. f ( x ) = sin 2 x ⇒ 14. Find the maxima and minima of f ( x ) = sec x . ⇒...
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 Fall '07
 JonathanRogawski
 Math, Calculus, Derivative, ........., Mathematical analysis

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