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Calculus
Question

Determine the intervals on which  f is concave up and concave down:

$$f(x)=x^3+4.5x^2-12x-1$$

Intervals where $$f(x)$$ is concave up: $$x>-\frac{3}{2}$$
Intervals where $$f(x)$$ is concave up: $$x<-\frac{3}{2}$$