J. Kim MS 125 Worksheet 3.1 ~ 3.2 (Sep. 20, 2006)
Section 3.1 Powers and Polynomials
Basic Rules of Differentiation I
0c
dx
d
1
nn
nxx
dx
d
for any real number n
)()( xf
dx
d
cxcf
dx
d
)()()()( xg
dx
d
xf
dx
d
xgxf
dx
d
Example 1 Find the derivative of each function.
1.
)(xf
2.
74)( xxf
3.
4
)( xxg
4.
xxh )(
5.
2
1
x
y
6.
x
xxxf 1
6
2
1
)(
3
6
Example 2 Find the second derivative of each function.
1.
3
)( xxf
2.
xxf )(
Section 3.2 Exponential Functions
Derivatives of Exponential Functions
