Derivative Rules Flashcards
0
Q
Quotient Rule
A
For g(x)/h(x),
(H(x))^2
1
Q
Product Rule
A
g(x)•h’(x)+h(x)•g’(x)
2
Q
Constant Rule
A
F(x)=c F’(x)=0
3
Q
Power Rule
A
F(x)=x^n, f’(x)=n•x^(n-1)
4
Q
Constant multiple rule
A
C•f(x) = C•f’(x)
5
Q
Sum rule
A
H(x)=f(x)+g(x)
H’(x)=f’(x)+g’(x)
6
Q
Difference Rule
A
H(x)=f(x)-g(x)
H’(x)=f’(x)-g’(x)
7
Q
Sin(x)
A
Cos(x)
8
Q
Cos(x)
A
-sin(x)
9
Q
e^x
A
e^x
10
Q
Tanx
A
Sec^2(x)
11
Q
Sec(x)
A
Sec(x)•tan(x)
12
Q
Cot(x)
A
-csc^2(x)
13
Q
Csc(x)
A
-csc(x)•cot(x)
14
Q
Limit definition
A
F’(x)= lim f(x+⚠️x) - f(x)
⚠️x->0 —————-
⚠️x
