AP Calculus BC Quiz
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DIFFERENTIATION: DEFINITION AND FUNDAMENTAL PROPERTIES
Question 1
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Suppose
h
h
h
is differentiable at
x
=
−
3
x=-3
x
=
−
3
. Which conclusion must follow about
h
h
h
at
x
=
−
3
x=-3
x
=
−
3
?
A
h
h
h
is continuous at
x
=
−
3
x=-3
x
=
−
3
.
B
h
h
h
has a corner at
x
=
−
3
x=-3
x
=
−
3
.
C
h
h
h
is discontinuous at
x
=
−
3
x=-3
x
=
−
3
.
D
h
h
h
is continuous only if
h
′
(
−
3
)
=
0
h'(-3)=0
h
′
(
−
3
)
=
0
.
E
h
h
h
is differentiable only if
lim
x
→
−
3
h
(
x
)
\lim_{x\to-3}h(x)
lim
x
→
−
3
h
(
x
)
does not exist.
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