Second derivative test (f'(c)=0 and f''(c)>0 → local min; f''(c)<0 → local max)
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f'(c)=0 and f''(c)>0 → local min; f''(c)<0 → local max
What each symbol means
| Symbol | What it stands for |
|---|---|
| f''(c) | Second derivative at stationary point |
When to use this
f twice differentiable near c, f'(c)=0. If f''(c)=0, test inconclusive.