Chap 5 Flashcards
1
Q
If the graph is concave up for the whole graph is there a point of inflection
A
No there is no point in inflection because there is no change in concavity
2
Q
Second derivative test
A
Find first rivers find critical numbers of first riveted then find second residence with the second riveted plug in the critical numbers for X and check to see if the value is greater or less than zero if it is greater than zero it is concave up if it is less than zero it is concave down
3
Q
ln e
A
1
4
Q
ln 0
A
Undefined
5
Q
ln 1
A
0
6
Q
Derivative of ln u
A
u’/u
or
1/u*u’
7
Q
Integral of 1/u
A
ln|u| + c
8
Q
Derivative of ln |x|
A
1/x
9
Q
∫sin u du
A
- cos u + C
10
Q
∫cos u du
A
Sin u + C
11
Q
∫tan u du
A
-ln |cos u | + c
12
Q
∫csc u du
A
- ln|csc u + cot u| + c
13
Q
∫sec u du
A
ln|sec u + tan u| + c
14
Q
∫cot u du
A
ln |sin u| + C
15
Q
Derivative of an inverse function
A
1/ f’(f^-1(a))
