Calculus 1 Quiz
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DERIVATIVES: DEFINITION & RULES
Question 1
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Let
f
(
x
)
f(x)
f
(
x
)
be a differentiable function. The notation
d
d
t
[
f
(
x
)
]
\frac{d}{dt}[f(x)]
d
t
d
[
f
(
x
)]
represents:
A
The derivative of
f
(
x
)
f(x)
f
(
x
)
with respect to
t
t
t
, which is 0 if
x
x
x
and
t
t
t
are independent.
B
The derivative of
f
(
x
)
f(x)
f
(
x
)
with respect to
x
x
x
, which is
f
′
(
x
)
f'(x)
f
′
(
x
)
.
C
A notation that is undefined in standard calculus.
D
The derivative of
f
f
f
with respect to
t
t
t
, evaluated at
x
x
x
, which is
f
′
(
t
)
f'(t)
f
′
(
t
)
.
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