DERIVATIVES Flashcards
1
Q
ax^n
A
nax^n-1
2
Q
f(x)g(x)
A
f’(x)g(x) + f(x)g’(x)
3
Q
f(x)/g(x)
A
g(x)f’(x) - f(x)g’(x) / (g(x))^2
4
Q
f(g(x))
A
f’(g(x)) x g’(x)
5
Q
sin(x)
A
cos(x)
6
Q
cos(x)
A
-sin(x)
7
Q
tan(x)
A
(sec(x))^2
8
Q
sec(x)
A
sec(x)tan(x)
9
Q
csc(x)
A
-csc(x)cot(x)
10
Q
cot(x)
A
-csc(x)^2
11
Q
sin(f(x))
A
cos(f(x)) x f’(x)
12
Q
cos(g(x))
A
-sin(g(x)) x g’(x)
13
Q
e^x
A
e^x
14
Q
e^f(x)
A
e^f(x) x f’(x)
15
Q
ln(x)
A
1/x
