J. Kim MS 125 Worksheet 3.5 (Sep. 29, 2006)
Section 3.5 The Trigonometric Functions
Example 1 Starting with the graph of
xxf sin)(
, sketch the graph of its derivative.
Example 2 Use the relation
xx
dx
dcossin
to show that
xx
dx
dsincos
.
Derivatives of Trigonometric Functions
xx
dx
dcossin
xx
dx
dsincos
xx
dx
d
2
sectan
Example 3 Find the derivatives of the following functions.
1.
)15sin(3)( xxf
2.
xxg
2
cos)(
3.
2
cos)( xxh
4.
x
exf
sin
)(
5.
xxg tan)(
6.
xxf sec)(
7.
xxh 2cos)(
8.
)3tan(2)( xxf
9.
)sin(tan)( xxf