First Derivative Test for Increasing Intervals
For the function $$f(x)=-x^3+3*x^2+1$$ shown above, use the first derivative test to identify the interval on which $$f(x)$$ is increasing.
A
$$ (2, \infty) $$
B
$$(-\infty, \infty)$$
C
$$(0, 2)$$
D
$$(-\infty, 0)$$
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