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Flashcards in Derivative Graph Rules Deck (15)
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1

Critical points of f(x)

F'=0 or DNE

2

F is increasing

F'>0

3

F is decreasing

F'<0

4

Inflection points of f

F switches concavity
F' switches from inc to dec or vice versa

5

F is concave down

F' is decreasing

6

F is concave up

F' is increasing

7

F has a local max

F'=0
F' switches from +/-
F"(c.p)<0

8

F has a local min

F'=0
F' switches from -/+
F"(c.p)>0

9

1/sinx

csc x

10

1/cosx

Sec x

11

1/tanx

Cot x

12

Tan x

Sinx/cosx

13

Sinx^2+cosx^2

1

14

Sin 2x

2sinxcosx

15

Sinx/x

1