Derivative Graph Rules Flashcards
1
Q
Critical points of f(x)
A
F’=0 or DNE
2
Q
F is increasing
A
F’>0
3
Q
F is decreasing
A
F’<0
4
Q
Inflection points of f
A
F switches concavity
F’ switches from inc to dec or vice versa
5
Q
F is concave down
A
F’ is decreasing
6
Q
F is concave up
A
F’ is increasing
7
Q
F has a local max
A
F’=0
F’ switches from +/-
F”(c.p)<0
8
Q
F has a local min
A
F’=0
F’ switches from -/+
F”(c.p)>0
9
Q
1/sinx
A
csc x
10
Q
1/cosx
A
Sec x
11
Q
1/tanx
A
Cot x
12
Q
Tan x
A
Sinx/cosx
13
Q
Sinx^2+cosx^2
A
1
14
Q
Sin 2x
A
2sinxcosx
15
Q
Sinx/x
A
1
