Derivative Rules Flashcards
1
Q
(d/dx) e^x
A
e^x
2
Q
product rule
A
F’ = u’ * v + v’ * u
3
Q
Quotient Rule
A
(vu’ - uv’)/v^2
4
Q
(d/dx) sin x
A
cos x
5
Q
(d/dx) cos x
A
-sin x
6
Q
(d/dx) tan x
A
sec^2 x
7
Q
(d/dx) cot x
A
-csc^2 x
8
Q
(d/dx) sec x
A
sec x * tan x
9
Q
(d/dx) csc x
A
-csc x * cot x
10
Q
Chain Rule
A
F’(x) = f’(g(x))g’(x)
11
Q
(d/dx) a^x
A
a^x * ln(a)
12
Q
(d/dx) sin ^-1
A
1/sqrt(1- x^2)
13
Q
(d/dx) cos ^-1
A
-1/sqrt(1 - x^2)
14
Q
(d/dx) tan ^-1
A
1/(1+ x^2)
15
Q
(d/dx) csc ^-1
A
-1/(x * sqrt(x^2 - 1)
