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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
(
ln
x
)
+
3
sin
x
f(x)=\bigl(\ln x\bigr)+3\sin x
f
(
x
)
=
(
ln
x
)
+
3
sin
x
defined for
x
>
0
x>0
x
>
0
. (a) Calculate
f
′
(
x
)
f'(x)
f
′
(
x
)
. (b) Determine the equation of the line tangent to the graph of
f
f
f
at
x
=
1
x=1
x
=
1
.
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