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Consider the following function. $f(x)=x_{3}−3x_{2}−6x+5$ Find the first and second derivatives. $f_{′}(x)=$ $f_{′′}(x)=$ Find any values of $c$ such that $f_{′′}(c)=0$. (Enter your answer as a comma-separated list. If any answer does not exist, enter DNE) $c=$ Find the interval(s) on which $f$ is concave up. (Enter your answer using interval notation.) Find the interval(s) on which $f$ is concave down. (Enter your answer using interval notation.) Find the inflection point of $f$. $(x,y)=((1,−3)_{x})$

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