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Derivatives and Integrals
d/dx [csc u]
d/dx [ tan u ]
Derivatives and Integrals
11 terms
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StudBud Administration
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A calculus Quiz for derivatives and integrals only. By Maria and Tyler.
Flashcards
11 cards
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Questions
11
Answers
1
d/dx [ tan
u
]
sec u
(tan2 u) • u'
(sec2 u) • u'
tan u
2
d/dx [csc
u
]
cot u
(csc u cot u)
-csc2 u
-(csc u cot u)u'
3
∫ a
u
du
u'
(1/ln a) • au + C
au + C
au • u' + C
4
d/dx [ log
a
u
]
u' / a
a
(u')/(ln(a) • u )
ln (a)
5
f(x) = 278x
10
+ 972x
9
+ 678x
8
. f
(12)
(x) = ?
0
2780x9 + 8748x8 + 5424x7
183,206,448
I give up.
6
∫ e
u
eu • u'
1/(eu)
eu + C
ln|u| + C
7
∫ du/u
ln|u| + C
u'
u'/u
1/u
8
d/dx [ arctan(u) ]
(u')/(1 - u2)
(u')/(√(1 + u2))
(u')/(1 + u2)
(u')/(√(1 - u2))
9
∫ [ 1/(x
2
) ]
-x-1 + C
x-2 + C
ln | x2 | + C
x2 + C
10
d/dx [c]
Undefined
c
∞
0
11
∫ csc
2
(x)
- cot (x) + C
cot (x) + C
csc2 (x)
csc(x) + C
