Test 3 Flashcards
1
Q
If a function is increasing, the derivative is…
A
positive
2
Q
If a function is decreasing, the derivative is…
A
negative
3
Q
sin-1(x)
A
1 / √1 - x^2
4
Q
cos-1(x)
A
-1 / √1 - x^2
5
Q
tan-1(x)
A
1 / 1 + x^2
6
Q
cot-1(x)
A
-1 / 1 + x^2
7
Q
sec-1(x)
A
1 / lxl √x^2-1
8
Q
csc-1(x)
A
-1 / lxl √x^2-1
9
Q
f(x) = e^x
A
e^x
10
Q
f(x) = a^x
A
a^x * lna
11
Q
ln(x)
A
1/x
12
Q
logbX
A
1 / x * ln(b)
13
Q
sinx
A
cosx
14
Q
cosx
A
-sinx
15
Q
tanx
A
sec^2x
16
Q
cscx
A
-cscxcotx
17
Q
secx
A
secxtanx
18
Q
cotx
A
-csc^2x
