Question: Suppose \(f\) is a differentiable function.

Given the following information, select the statement(s) that must be true

- \(f^{\prime}(7)=0, f^{\prime}(8)=2, f^{\prime}(-9)=-4\)

- \(f^{\prime \prime}(7)=-15, f^{\prime \prime}(8)=0, f^{\prime \prime}(-9)=9\)

Select the statement(s) that must be true

\(f\) has a local maximum at \(x=-9\) ?

\(f\) has a local maximum at \(x=8\) ?

\(f\) has a local minimum at \(x=8\) ?

None of these statements must be true. ?

\(f\) has a local maximum at \(x=7\) ?

\(f\) has a local minimum at \(x=7\) ?

f has a local minimum at \(x=-9\) ?

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