Math Formulas Flashcards
1
Q
(sin x)’
A
cos x
2
Q
(cos x)’
A
-sin x
3
Q
(tan x)’
A
sec²x
4
Q
(cot x)’
A
-csc²x
5
Q
(sec x)’
A
sec x tan x
6
Q
(csc x)’
A
-csc x cot x
7
Q
[e⁽ ⁾]’
A
e⁽ ⁾ * ( )’
8
Q
[( ) ʳ]’
A
r( )ʳ⁻¹ * ( )’
9
Q
[sin ( )]’
A
cos ( ) * ( )’
10
Q
[cos ( )]’
A
-sin ( ) * ( )’
11
Q
[tan ( )]’
A
sec² ( ) * ( )’
12
Q
[cot ( )]’
A
-csc² ( ) * ( )’
13
Q
[sec ( )]’
A
sec ( ) * tan ( ) * ( )’
14
Q
[csc ( )]’
A
csc ( ) * cot ( ) * ( )’
15
Q
A³ - B³
A
(A-B) (A²+AB+B²)
16
Q
(A plus/minus B)²
A
A² plus/minus AB + B²
17
Q
A³ + B³
A
(A+B)(A²-AB+B²)
18
Q
A² - B²
A
(A-B)(A+B)
19
Q
what is chain rule?
A
[f(g(x))]’ = f’(g(x)) * g’(x)
20
Q
what is the definition of a derivative?
A
f’(a)= lim as x approaches a f(x)-f(a)/x-a
21
Q
what is the relationship between differentiability and continuity?
A
differentiability can be continuity but continuity cannot be differentiability
