Explanation Given information: The function is f ( x ) = − 2 x . Calculation: To find f ' ( 2 ) for f ( x ) = − 2 x , use graphing calculator with following steps: By using variable X instead of x , the function becomes, f ( X ) = − 2 X . Step 1: Press MATH, then select the key 8: nDeriv and enter the right side of the function f ( X ) = − 2 X . Step 2: Plug X = 2 . It will look like: d d X ( − 2 X ) | X = 2 Step 3: Press [ENTER] to display the value of f ' ( 2 ) . The value of f ' ( 2 ) is 0.5 . To find f ' ( 16 ) for f ( x ) = − 2 x , use graphing calculator with following steps: By using variable X instead of x , the function becomes, f ( X ) = − 2 X . Step 1: Press MATH, then select the key 8: nDeriv and enter the right side of the function f ( X ) = − 2 X . Step 2: Plug X = 16 . It will look like: d d X ( − 2 X ) | X = 16 Step 3: Press [ENTER] to display the value of f ' ( 16 )

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ISBN: 9780321964038

Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher: Pearson Addison Wesley,

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Chapter 3.4, Problem 31E

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The f'(2), f'(16) and f'(−3) for f(x)=−2x when the derivative exists by using graphing calculator.

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Chapter 3.4, Problem 30E

Chapter 3.4, Problem 32E

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The f ' ( 2 ) , f ' ( 16 ) and f ' ( − 3 ) for f ( x ) = − 2 x when the derivative exists by using graphing calculator.

Solution Summary: The author explains that the function is f'(2) = 0.5, and uses graphing calculator.

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The f'(2), f'(16) and f'(−3) for f(x)=−2x when the derivative exists by using graphing calculator.

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