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Linear Algebra
Linear Algebra Pulse
Five questions across 8 topics. No timer.
1 / 5
Linear Algebra
Question 1 of 5
foundation (1/10)
state theorem
For a scalar function
f
:
R
→
R
, define
f
′
(
a
)
as a LIMIT.
Hide and think first
A.
f
′
(
a
)
=
lim
h
→
0
(
f
(
a
+
h
)
−
f
(
a
))
/
h
, when the limit exists from both sides.
B.
f
′
(
a
)
=
f
(
a
)
/
a
. The derivative is the ratio of the function value to the input.
C.
f
′
(
a
)
=
(
f
(
a
+
1
)
−
f
(
a
))
/1
, the unit-step difference. Limits are not needed.
D.
f
′
(
a
)
=
∫
f
(
x
)
d
x
evaluated at
x
=
a
. The derivative is the antiderivative reversed.
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