Introduction to Related Rates
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
Differentiate
V
=
π
r
2
h
V = \text{π}r^2h
V
=
π
r
2
h
with respect to time.
QUESTION
What is the definition of a related rates problem?
QUESTION
Differentiate
A
=
1
2
b
h
A = \frac{1}{2}bh
A
=
2
1
bh
with respect to time.
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ANSWER
d
A
d
t
=
1
2
(
b
d
h
d
t
+
h
d
b
d
t
)
\frac{dA}{dt} = \frac{1}{2}(b\frac{dh}{dt} + h\frac{db}{dt})
d
t
d
A
=
2
1
(
b
d
t
d
h
+
h
d
t
d
b
)
. Product rule for triangle area with two variables.
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