If the derivative of a function is given by f '(x) = x(x - 2)(x + 6), then for what values of x is f(x) decreasing? Select only ONE answer below. 1. -2< X < 0 and x > 6 2. x < 0 3. x < -6 and 0 < x < 2 4. -6 < x < 2 5. x < -6 and x > 2 6. x < -2 and 0 < x < 6

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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If the derivative of a function is given by f '(x) = x(x - 2)(x + 6), then for what values of x is f(x) decreasing? Select only ONE answer below.

1. -2< X < 0 and x > 6

2. x < 0

3. x < -6 and 0 < x < 2

4. -6 < x < 2

5. x < -6 and x > 2

6. x < -2 and 0 < x < 6

7. 

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