Differentiating Inverse Trigonometric Functions
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
Card 1
of 12
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
State the derivative of
cos
−
1
(
x
)
\cos^{-1}(x)
cos
−
1
(
x
)
.
QUESTION
State the derivative of
sin
−
1
(
x
)
\sin^{-1}(x)
sin
−
1
(
x
)
.
QUESTION
What is the chain rule application for
y
=
sec
−
1
(
g
(
x
)
)
y = \sec^{-1}(g(x))
y
=
sec
−
1
(
g
(
x
))
?
Tap to flip before you grade
ANSWER
g
′
(
x
)
∣
g
(
x
)
∣
(
g
(
x
)
)
2
−
1
\frac{g'(x)}{|g(x)|\sqrt{(g(x))^2-1}}
∣
g
(
x
)
∣
(
g
(
x
)
)
2
−
1
g
′
(
x
)
. General chain rule pattern for inverse secant composition.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card