Derivatives Flashcards
1
Q
Dx (cos x)
A
-sin x
2
Q
Dx (ln x)
A
1/x
3
Q
Dx (f x g)
A
f’g + fg’
4
Q
Dx (csc x)
A
-csc x cot x
5
Q
Dx (e^x)
A
e^x
6
Q
Dx (e^u)
A
(e^u)(u’)
7
Q
Dx (tan x )
A
sec^2(x)
8
Q
Dx (f/g)
A
(f’g-fg’)/g^2
9
Q
Dx (arcsin x)
A
1/(sqroot(1-x^2))
10
Q
Dx (arcsin u)
A
u’/(sqroot(1-u^2))
11
Q
Dx (ln abs(u))
A
u’/u
12
Q
Dx (x^n)
A
nx^n-1
13
Q
Dx (arctan x)
A
1/(1+x^2)
14
Q
Dx (arctan u)
A
u’/(1+u^2)
15
Q
Dx (sin x)
A
cos x
16
Q
Dx (arcsec x)
A
1/(abs(x) sqroot((x^2)-1))
17
Q
Dx (arcsec u)
A
u’/(abs(u) sqroot((u^2)-1))
18
Q
Dx (cot x)
A
-csc^2(x)
19
Q
Dx (arccos x)
A
-x/(sqroot(1-x^2))
20
Q
Dx (arccos u)
A
-u’s(sqroot(1-u^2))
21
Q
Dx (sec x)
A
(sec x)(tan x)
22
Q
Dx (f(g(x)))
A
f’(g(x))(g’(x))
23
Q
Dx (f(x) +/- g(x))
A
f’(x) +/- g’(x)
24
Q
Dx (c)
A
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