✓ Effortless Math · Free Tool

Critical Points & Extrema Calculator

Find where f′(x) = 0 on an interval and classify each critical point as a local maximum, minimum, or saddle/inflection — with a graph and step-by-step working.

Solve f′(x) = 0, then classify with f″(x)
f(x) on [ from , to ]

Use x as the variable. The tool finds where f′(x) = 0 on the interval and classifies each as a maximum, minimum, or saddle/inflection.

Results

Critical points
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Graph

f(x)local maxlocal min

Step-by-step