Differentiating Inverse Functions
AP Calculus AB · Flashcards · Recall
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the domain of
y
=
arccos
(
x
)
y = \text{arccos}(x)
y
=
arccos
(
x
)
?
QUESTION
Which inverse function has a derivative of
1
1
+
x
2
\frac{1}{1+x^2}
1
+
x
2
1
?
QUESTION
Which inverse function has a derivative of
−
1
1
+
x
2
-\frac{1}{1+x^2}
−
1
+
x
2
1
?
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ANSWER
arccot
(
x
)
\text{arccot}(x)
arccot
(
x
)
. Inverse cotangent has derivative
−
1
1
+
x
2
-\frac{1}{1+x^2}
−
1
+
x
2
1
.
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