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## Homework Statement

[tex]y=x^3[/tex]

## The Attempt at a Solution

I know that function is increasing when [tex]f'(x) > 0[/tex] but in [tex]x=0[/tex] there is [tex]f'(x) = 0[/tex], so is function increasing there or not? From definition I know that its increasing there, but how can I connect this with theorem that function is increasing when [tex]f'(x) > 0[/tex]?