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Unformatted text preview: g ( x ) is shown below. Use it to answer the following questions: (a) (5 pts.) At what points (if any) is g discontinuous? (b) (5 pts.) At what points (if any) is g nondiFerentiable? (c) (5 pts.) At what points (if any) is g ′ ( x ) = 0? (d) (5 pts.) On the axes immediately below the graph of g , sketch a graph of g ′ ( x ). g x g ′ x 3 7. (10 pts.) The temperature, T , of a cooling object is a function of time, x , as shown in the following table: x (minutes) 5 10 15 20 25 T ( ◦ C)7 6 11 15 18 (a) Estimate the value of T ′ ( x ) for times x = 5, 10, 15 and 20 minutes. Write your answers in the table below. Be sure to include correct units. x (minutes) 5 10 15 20 T ′ ( x ) ( ) (b) T ′ is a function. Compute the derivative of T ′ at time x = 15 minutes. Your answer must include correct units. 4...
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 Spring '08
 STAFF
 Calculus, Derivative, pts

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