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AP Calculus AB. Day 6 Section 3.4. Second Derivative Test. If c is a critical number of f’(x) and…. (c, f(c)) is a relative min. If f’’(c) > 0 then ______________________________________________. (c, f(c)) is a relative max.
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AP Calculus AB Day 6 Section 3.4 Perkins
Second Derivative Test If c is a critical number of f’(x) and… (c, f(c)) is a relative min If f’’(c) > 0 then ______________________________________________ (c, f(c)) is a relative max If f’’(c) < 0 then _______________________________________________ the test fails (use 1st Derivative test) If f’’(c) = 0 or is undefined then __________________________________
Crit numbers: 1. Find the extrema of 2nd Derivative Test rel max at rel min at rel max at rel min at
Crit numbers: 2. Sketch 2nd Derivative Test rel max at rel min at Crit numbers: Intervals: Test values: f ’’(test pt) f(x) Inf pt
2 2 -2
AP Calculus AB Day 6 Section 3.4 Perkins
Second Derivative Test If c is a critical number of f’(x) and… If f’’(c) > 0 then ______________________________________________ If f’’(c) < 0 then _______________________________________________ If f’’(c) = 0 or is undefined then __________________________________
2 2 -2