Unit 1 Flashcards
1
Q
1/x
A
x^-1
2
Q
1/x^p
A
x^-p
3
Q
√x
A
x^1/2
4
Q
m√x^n
A
x^n/m
5
Q
√(x^2)
A
|x|
6
Q
(√x)^2
A
x
7
Q
The instantaneous rate of change is the __________ of the function.
A
derivative
8
Q
Average rate of change of f(x) on [a,b]
A
f’(x)= (f(b) - f(a))/ b - a
9
Q
lim x->∞ (1/x)
A
0
10
Q
What does it mean when a problem states that “f(x) is differentiable?”
A
f’x exists
11
Q
ln(a*b)=
A
ln(a) + ln(b)
12
Q
ln(a/b)=
A
ln(a) - ln(b)
13
Q
lnx^p
A
plnx
14
Q
What is lim x->c- f(x)
A
The limit of f(x) as x approaches c from the left
15
Q
What is lim x->c+ f(x)
A
The limit of f(x) as x approaches from the right