Unformatted text preview: • a sharp corner • a discontinuity • a vertical tangent line Suppose that f(x) is a continuous function, then… • when f(x) is increasing, f’(x) will be positive • when f(x) is decreasing, f’(x) will be negative • when f(x) is horizontal, f’(x) will be 0 The second derivative of f can be denoted by any of these… 2 2 2 2 ( ) ( ) d y d f x f x dx dx ′′ Similarly, with the subsequent derivatives: f ′′′ represents the third derivative of f y (4) represents the fourth derivative of f f (n)( x) represents the nth derivative of f(x) Try Exercises 2,6,8,22,28,34,36,42,52 on pp. 162165 in the text....
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 Spring '11
 Teague
 Calculus, Derivative, Continuous function, dx dx dx

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