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AP Calculus Derivatives REVIEW Flashcards | StudBud

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AP Calculus Derivatives REVIEW

14 terms·StudBud Administration·41 plays

Review for the AP Calculus AB Exam. Includes derivatives, anti-derivatives, rules, and theorems to memorize. #math #calculus #AP #derivative

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Questions 14

Answers

1
derivative tan u
sec2u du
—sec2 u du
— cos u du
sec u tan u du
2
derivative sec u
— sec u tan u du
sec u cot u du
sec u tan u du
— csc u cot u du
3
derivative √u
1 / u2 du
1 / 2√u du
- 1 / 2√u du
- 1 / u2 du
4
derivative e^u
ln |eu| du
ln |u| du
eu
eu du
5
derivative cx
x
c
cx2/2
cx2
6
derivative ¹/_u
ln|u| du
-1/u2 du
ln(u) du
1/u2 du
7
derivative ƒ (g(x))
ƒ '(g(x)) g'(x)
1 / ƒ '(g(x))
ƒ '(x) g(x) + g'(x) ƒ(x)
ƒ ' (g(x))
8
derivative axⁿ
axn-1 a'
naxn-1
axn+1/n+1
axn-1
9
derivative sin u
sec2 u du
— cos u du
cos u du
cot u du
10
derivative cos u
— sin u + c
— csc2 u du
sin u du
— sin u du
11
derivative uv
u'v — v'u
v'u + u'v
u'v + v'u
uv2 du
12
derivative ^u/_v
(v'u –u'v) / v2
(u'v – v'u) / u2
(u'v – v'u) / v2
u'v + v'u
13
derivative C
1/x
0
x
c
14
derivative ln u
1 / √u du
—1 / u du
1 / u du
1 / u2 du