Differentiating Inverse Trigonometric Functions
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
Find the derivative of
y
=
arccot
(
1
x
)
y = \text{arccot}(\frac{1}{x})
y
=
arccot
(
x
1
)
at
x
=
1
x = 1
x
=
1
.
QUESTION
Evaluate the derivative of
arccot
(
x
)
\text{arccot}(x)
arccot
(
x
)
at
x
=
1
x = 1
x
=
1
.
QUESTION
State the derivative of
arccsc
(
x
)
\text{arccsc}(x)
arccsc
(
x
)
.
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ANSWER
−
1
∣
x
∣
x
2
−
1
-\frac{1}{|x| \sqrt{x^2 - 1}}
−
∣
x
∣
x
2
−
1
1
Standard derivative formula for inverse cosecant function.
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