Exploring Behaviors of Implicit Relations
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
Card 1
of 33
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
Differentiate
y
2
=
x
+
x
2
y
y^2 = x + x^2y
y
2
=
x
+
x
2
y
implicitly.
QUESTION
What does
d
y
d
x
\frac{dy}{dx}
d
x
d
y
represent in implicit differentiation?
QUESTION
Find
d
y
d
x
\frac{dy}{dx}
d
x
d
y
for
y
=
ln
(
x
y
)
y = \ln(xy)
y
=
ln
(
x
y
)
implicitly.
Tap to flip before you grade
ANSWER
d
y
d
x
=
1
x
+
y
\frac{dy}{dx} = \frac{1}{x + y}
d
x
d
y
=
x
+
y
1
. From
d
y
d
x
=
1
x
y
(
y
+
x
d
y
d
x
)
\frac{dy}{dx} = \frac{1}{xy}(y + x\frac{dy}{dx})
d
x
d
y
=
x
y
1
(
y
+
x
d
x
d
y
)
, solve for
d
y
d
x
\frac{dy}{dx}
d
x
d
y
.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card