[Step-by-Step] In each part, find all critical points, and use the second derivative test (where possible) to classify them as relative maxima, relative
Question: In each part, find all critical points, and use the second derivative test (where possible) to classify them as relative maxima, relative minima, or neither.
- \(f(x)=x^{-1 / 2}+\frac{1}{9} x^{1 / 2}\)
- \(f(x)=x^{2}+8 / x\)
- \(f(x)=\sin ^{2} x-\cos x, \quad 0 \leq x \leq 2 \pi\)
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