Free local extrema calculator to find local extrema. Instant results in your browser — no signup.
Also known as: Find local extrema, critical points calculator, critical points, local max min, extrema, find local extrema calculator, find local extrema, calculus math
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Critical points
1
f(x) = x^6 −2.0000x^5; solve f′(x) = 6.0000x^5 −10.0000x^4 = 0
Critical points
| x | f(x) | Type |
|---|---|---|
| 1.6667 | -4.2867 | local min |
Free local extrema calculator to find local extrema. Instant results in your browser — no signup. f′(x)=0 at critical points; f″>0 → local min, f″<0 → local max.
f′(x)=0 at critical points; f″>0 → local min, f″<0 → local max.
f(x) = x³ − 2x has critical points at x = ±√(2/3).
Scan endpoints separately if needed — this finds interior critical points.