Derivative Formulas Flashcards
1
Q
Power rule
A
(x^n)’ = nx^(n-1)
2
Q
Constant Multiple
A
(cu)’=cu’
3
Q
Sum
A
(u+v)’ = u’ +v’
4
Q
Difference
A
(u-v)’ = u’-v’
5
Q
Product
A
(uv)’ = u’v + uv’
6
Q
Quotient
A
(u/v) = vu’-uv’/v^2
7
Q
Chain/composition
A
dy/dx= dy/du * du/dx
8
Q
Sin(u)
A
cos(u) * du/dx
9
Q
Cos(u)
A
-sin(u) * du/dx
10
Q
csc(u)
A
-csc(u)cot(u) * du/dx
11
Q
sec(u)
A
sec(u)tan(u) * du/dx
12
Q
tan(u)
A
sec^2(u) * du/dx
13
Q
cot(u)
A
-csc^2(u) * du/dx
14
Q
arcsin(u)
A
1/sqrt(1-u^2)
15
Q
arccos(u)
A
-1/sqrt(1-u^2)
