Derivatives Flashcards
1
Q
d/dx [c], where c is a constant
A
0
2
Q
d/dx [x]
A
1
3
Q
d/dx [cx], where c is a constant
A
c
4
Q
d/dx [x^n]
A
nx^(n-1)
5
Q
d/dx [f(x)*g(x)] (product rule for f and g)
A
f’(x)g(x) + g’(x)f(x)
6
Q
d/dx [f(x)/g(x)] (quotient rule for f over g)
A
[f’(x)g(x)-g’(x)f(x)] / [(g(x))^2]
7
Q
d/dx sin x
A
cosx
8
Q
d/dx cos x
A
-sinx
9
Q
d/dx tan x
A
sec^2 x
10
Q
d/dx cot x
A
-csc^2 x
11
Q
d/dx sec x
A
sec x tan x
12
Q
d/dx csc x
A
-csc x cot x
13
Q
d/dx e^x
A
e^x
14
Q
d/dx a^x
A
(a^x)*ln (a)
15
Q
d/dx ln (x)
A
1/x
