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# Find Intervals Where a Function Satisfies Multiple Conditions

SVCALC-54XBQ6

On what intervals is $f(x)=x^3-\ln x$ decreasing and concave down?

A

none

B

$(0,\cfrac{1}{\sqrt[3]{3}})$

C

$(\cfrac{1}{\sqrt[3]{3}},\infty)$

D

$(0,\infty)$