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AP Derivative Review
AP Derivative Review
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21 plays
Calculus derivatives
Flashcards
17 cards
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Practice quiz
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Host live
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Questions
17
Answers
1
What is the
derivative
of
sin(u)
?
-cos2(u) (du/dx)
cos(u) (du/dx)
-cos(u) (du/dx)
cos2(u) (du/dx)
2
What is the
derivative
of
sin
-1
(u)
?
-1/[u√(u2-1)] (du/dx)
1/[u√(u2-1)] (du/dx)
1/√(1-u2) (du/dx)
-1/√(1-u2) (du/dx)
3
What is the
derivative
of
sec(u)
?
sec(u)tan(u) (du/dx)
-sec(u)tan(u) (du/dx)
-sec2u (du/dx)
sec2u (du/dx)
4
What is the
derivative
of
cos
-1
(u)
?
1/√(1-u2) (du/dx)
1/[u√(u2-1)] (du/dx)
-1/√(1-u2) (du/dx)
-1/[u√(u2-1)] (du/dx)
5
What is the
derivative
of
tan
-1
u
?
1/(1-u2) (du/dx)
-1/(1-u2) (du/dx)
-1/(1+u2) (du/dx)
1/(1+u2) (du/dx)
6
What is the
derivative
of
csc
-1
(u)
?
-1/√(1-u2) (du/dx)
1/√(1-u2) (du/dx)
1/[u√(u2-1)] (du/dx)
-1/[u√(u2-1)] (du/dx)
7
What is the
derivative
of
s
ec
-1
u)
?
1/[u√(u2-1)] (du/dx)
1/√(1-u2) (du/dx)
-1/√(1-u2) (du/dx)
-1/[u√(u2-1)] (du/dx)
8
What is the
derivative
of
csc(u)
?
csc(u)cot(u) (du/dx)
csc2(u) (du/dx)
-csc(u)cot(u) (du/dx)
-csc2(u) (du/dx)
9
What is the
derivative
of
ln (u)
?
eu (du/dx)
ln (u) (du/dx)
1/u (du/dx)
1/lul (du/dx)
10
What is the
derivative
of
e
u
?
lnlul (du/dx)
eu (du/dx)
-eu (du/dx)
ln(u) (du/dx)
11
What is the
derivative
of
a
u
?
au(lnu) (du/dx)
au (du/dx)
au(lna) (du/dx)
eu (du/dx)
12
What is the
derivative
of
cot
-1
u
?
-1/(1+u2) (du/dx)
-1/(1-u2) (du/dx)
1/(1-u2) (du/dx)
1/(1+u2) (du/dx)
13
What is the
derivative
of
tan
(u)
?
sec(u)tan(u) (du/dx)
sec2u (du/dx)
-sec2u (du/dx)
-sec(u)tan(u) (du/dx)
14
What is the
derivative
of
ln lul
?
ln (u) (du/dx)
1/u (du/dx)
eu (du/dx)
1/lul (du/dx)
15
What is the
derivative
of
cot(u)
?
csc(u)cot(u) (du/dx)
-csc2(u) (du/dx)
-csc(u)cot(u) (du/dx)
csc2(u) (du/dx)
16
What is the
derivative
of
cos(u)
?
-sin2(u) (du/dx)
sin(u) (du/dx)
sin2(u) (du/dx)
-sin(u) (du/dx)
17
What is the
derivative
of
log
b
u
?
1/(lnu) (du/dx)
1/[(lnb)u] (du/dx)
1/u (du/dx)
bu (du/dx)
