Derivative Formulas Flashcards
1
Q
d/dx (c) =
A
0
2
Q
d/dx [cf(x)] =
A
cf’(x)
3
Q
d/dx (xn) =
A
nxn−1
4
Q
d/dx [f(x) + g(x)] =
A
f’(x) + g’(x)
5
Q
d/dx [f(x) − g(x)] =
A
f’(x) − g’(x)
6
Q
d/dx [f(x)g(x)] =
A
f(x)g’(x) + g(x)f’(x)
7
Q
d/dx [f(x)/g(x)] =
A
[g(x)f’(x) − f(x)g’(x)] / [g(x)]2
8
Q
d/dx [f(g(x))] =
A
f’(g(x))g’(x)
9
Q
d/dx (ln x) =
A
1/x
10
Q
d/dx (logax) =
A
1/(x ln a)
11
Q
d/dx (ex) =
A
ex
12
Q
d/dx (ax) =
A
ax ln a
13
Q
d/dx (sin x) =
A
cos x
14
Q
d/dx (cos x) =
A
−sin x
15
Q
d/dx (tan x) =
A
sec2x