Introduction to Related Rates
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Determine
d
C
d
t
\frac{dC}{dt}
d
t
d
C
for
C
=
2
π
r
C = 2\pi r
C
=
2
π
r
if
r
=
10
r = 10
r
=
10
and
d
r
d
t
=
0.1
\frac{dr}{dt} = 0.1
d
t
d
r
=
0.1
.
QUESTION
Find
d
V
d
t
\frac{dV}{dt}
d
t
d
V
if
V
=
4
3
×
π
r
3
V = \frac{4}{3}\times \pi r^3
V
=
3
4
×
π
r
3
and
d
r
d
t
=
2
\frac{dr}{dt} = 2
d
t
d
r
=
2
at
r
=
3
r = 3
r
=
3
.
QUESTION
Determine
d
C
d
t
\frac{dC}{dt}
d
t
d
C
if
C
=
2
π
r
C = 2\text{π}r
C
=
2
π
r
and
d
r
d
t
=
5
\frac{dr}{dt} = 5
d
t
d
r
=
5
at
r
=
4
r = 4
r
=
4
.
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ANSWER
d
C
d
t
=
10
π
\frac{dC}{dt} = 10\text{π}
d
t
d
C
=
10
π
. Circumference formula differentiated.
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