Basic Derivates Flashcards
(15 cards)
1
Q
any constant
A
0
2
Q
any variable
A
1
3
Q
x^y
A
y*x^y-1
4
Q
f(x)*g(x)
A
f’(x)g(x) + f(x)g’(x)
5
Q
f(x)/g(x)
A
[f’(x)g(x) - f(x)g’(x)]/ [g(x)]^2
6
Q
f(g(x))
A
f’(g(x)) * g’(x)
7
Q
sin(x)
A
cos(x)
8
Q
cos(x)
A
-sin(x)
9
Q
tan(x)
A
sec^2(x)
10
Q
cot(x)
A
-cosec^2(x)
11
Q
sec(x)
A
sec(x) * tan(x)
12
Q
cosec(x)
A
-cosec(x) * cot(x)
13
Q
a^x
A
a^x * ln(a)
14
Q
e^x
A
e^x
15
Q
ln(x)
A
1/x
