See the attached file for questioins
Thehonest
1.doc1.
A graph of the function
f
f
is given below
Fill in the following table (of course approximate)
2.
For the function
f x( ) = 1 x
fx
()
=
1
x
find
lim x→4
f x( )− f 4( ) x − 4
lim
x®4
fx
()
-f4
()
x-4
and an equation of the tangent line to the graph of the above function at
4, 1 2
⎛ ⎝⎜
⎞ ⎠⎟
4,
1
2
æ
è
ç
ö
ø
÷
In the questions 3-6 , find
dy dx
dy
dx
3.
y = x3 − x2 − x53
y=x
3
-x
2
-x
5
3
4.
y = x3 ln 1+ x2( )
y=x
3
ln1+x
2
()
You may use
d dx ln u( ) = 1
u du dx
d
dx
lnu
()
=
1
u
du
dx
5.
y = sinx
2+ cosx
y=
sinx
2+cosx
6.
y = 1+ ex( )sinx
y=1+e
x
()
sinx
Rewrite this equation as:
y = e ln 1+ex( )sinx
y=e
ln1+e
x
()
sinx
Practice Question
In 15–18, find the slopes and equations of the lines tangent to y = f (x) at the given points.
15. f (x) = x2 + 8 at (1, 9) and (-2, 12).
