Worksheet 2.7 - Implicit Differentiation - Calculus Maximus Page 7
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7Calculus Maximus
WS 2.7: Implicit Differentiation
2
d y
2
2
_____ 13. Determine
when
4
x
3
y
4
2
dx
2
d y
16
(A)
2
2
dx
9
y
2
d y
16
(B)
2
2
dx
9
y
2
d y
4
(C)
2
3
dx
9
y
2
d y
16
(D)
2
3
dx
9
y
2
d y
16
(E)
2
3
dx
9
y
_____ 14. When an object is placed at a distance p from a convex lens having focal length of 5 cm, the
1
1
1
image will be at a distance q cm from the lens, with
. Find the rate of change of p
5
p
q
with respect to q. (Hint: Based on your answer choices, you should try to explicitly solve for
either p or q before differentiating).
dp
25
(A)
dq
q
5
dp
25
(B)
2
dq
q
5
dp
25
(C)
dq
q
5
dp
5
(D)
2
dq
q
5
dp
25
(E)
2
dq
q
5
Page 7 of 7
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