Worksheet 3.3 - Increasing, Decreasing, And 1st Derivative Test - Calculus Maximus Page 5
ADVERTISEMENT
1
2
3
4
5Calculus Maximus
WS 3.3: Inc, Dec, and 1st Deriv Test
9. Assume that f is differentiable for all x. The signs of f ′ are as follows.
( )
(
) (
)
( )
(
)
′
′
>
−∞ − ∪
∞ and
< on
−
f x
0
on
, 4
6,
f x
0
4,6
( )
( )
> < ≥ ≤
Let
g x be a transformation of
f x . Supply the appropriate inequality ( , , ,
) for the indicated
value of c in the given blank.
( )
′
Function
Sign of
g c
( )
( )
( )
g ′
=
+
(a)
g x
f x
5
0
_______ 0
( )
( )
( )
g ′ − _______ 0
=
−
(b)
g x
3
f x
3
5
( )
( )
( )
g ′ − _______ 0
= −
(c)
g x
f x
6
( )
( )
( )
g ′
= −
(d)
g x
f x
0
_______ 0
( )
(
)
( )
g ′
=
−
(e)
g x
f x
10
0
_______ 0
( )
(
)
( )
g ′
=
−
(h)
g x
f x
10
8
_______ 0
( )
( )
( )
g ′
=
−
(i)
g x
f
x
8
_______ 0
( )
( )
( )
g ′ − _______ 0
=
−
(j)
g x
f
x
8
Page 5 of 5
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education