3.1 Flashcards
1
Q
The Power Rule
A
d/dx (xn) = nxn-1
2
Q
d/dx (xn) =
A
nxn-1
3
Q
Derivative of a constant Function
A
d/dx (c) = 0
4
Q
d/dx (c) =
A
0
5
Q
d/dx (x) =
A
1
6
Q
The Power Rule (General Version)
A
if n is any real number, then
d/dx (xn) = nxn-1
7
Q
The Constant Multiple Rule
A
If c is a constant and f is a difdferentiable function, then d/dx [cf(x)] = (c) d/dx f(x)
8
Q
d/dx [cf(x)] =
A
(c) d/dx f(x)
9
Q
The Sum Rule
A
If f and g are both differentiable, then
d/dx [f(x) + g(x)] = d/dx f(x) + d/dx g(x)
10
Q
d/dx [f(x) + g(x)] =
A
d/dx f(x) + d/dx gx)
11
Q
The Difference Rule
A
If f and g are both differentiable, then
d/dx [f(x) - g(x)] = d/dx f(x) - d/dx g(x)
12
Q
d/dx [f(x) - g(x)] =
A
d/dx f(x) - d/dx g(x)
13
Q
Definition of the number e
A
e is the number such that
lim h→0 of (eh - 1)/ h = 1
14
Q
Derivative of the Natural Exponential function
A
d/dx (ex) = ex
