Warmup 9/18 Use 1 st derivative test to determine maximum and minimums.

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Presentation transcript:

Warmup 9/18 Use 1 st derivative test to determine maximum and minimums.

Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda : go over hw Hw quiz Notes lesson 3.4

Notebook Table of content Page 1 Learning Target 1 13) Extreme Values 14) Role’s Thm MVT 15) Increasing/Decreasing & 1 st deriv. Test 16) Concavity and 2 nd deri. test LT3: Use the 1 st and 2 nd derivatives to identify key features of a graph. HW: p192; 1,2,3- 7odd,15,17,25,28,31, 32,37,61

3.4 Concavity and 2 nd Derivative test -3 1 Concavity; Curvature, how it goes up

Points of inflections: Change in concavity C.V f’’ Change in concavity + to - - to + Ex: Find max,min, inc, dec – f’ concave up/down. P.i. - f’’

Ex: Find max,min, inc, dec – f’ concave up/down. P.i. - f’’ 0 1 1/2

Second Derivative Test for Relative Extrema Section 3.4

Find the extrema of f(x) = –3x 5 + 5x 3