Derivatives Flashcards
1
Q
Product rule
A
f(x)g(x) = f(x)g’(x) + g(x)f’(x)
2
Q
Quotient rule
A
f(x)/g(x) = g(x)f’(x)-f(x)g’(x)/g(x)^2
3
Q
Chain rule
A
f(g(x)) = f’(g(x))•g’(x)
4
Q
b^x
A
b^x = b^x •ln(b) • x’
5
Q
Sin x
A
cosx • (x)’
6
Q
Cos x
A
-sinx • x’
7
Q
Tan x
A
sec^2(x) • x’
8
Q
Cot x
A
-csc^2(x) • x’
9
Q
Sec x
A
Sec(x)tan(x) •x’
10
Q
Csc x
A
-Csc x cot x • x’
11
Q
e^x
A
e^x • x’
12
Q
Ln(x)
A
1/x • x’
13
Q
Log rule
A
log(x) = 1/x•ln(b) •x’
14
Q
arctan
A
1/(1+x^2) *x’
15
Q
arccos
A
-1/sqrt.(1-x^2) *x’
16
Q
arcsin
A
1/sqrt.(1-x^2) *x’
