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First Derivative Test for Increasing Intervals

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For the function f(x)=−x3+3∗x2+1f(x)=-x^3+3*x^2+1 shown above, use the first derivative test to identify the interval on which f(x)f(x) is increasing.

A

(2,∞) (2, \infty)

B

(−∞,∞)(-\infty, \infty)

C

(0,2)(0, 2)

D

(−∞,0)(-\infty, 0)

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