# Rise within Roots

Calculus Level 2

$f(x) = 2x^3 -15x^2 + 36x -27$

Let $$a$$ and $$b$$ be the distinct roots of the function above. If $$(c , d)$$ is the domain, where $$f(x)$$ is increasing within $$(a , b)$$, find $$c\times d$$.

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