MAT220 | Derivatives
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18 Terms
1
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f(x) = sin(x)
f’(x) = cos(x)
2
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f(x) = cos(x)
f’(x) = -sin(x)
3
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f(x) = tan(x)
f’(x) = sec^2(x)
4
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f(x) = csc(x)
f’(x) = -csc(x)cot(x)
5
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f(x) = sec(x)
f’(x) = sec(x)tan(x)
6
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f(x) = cot(x)
f’(x) = -csc^2(x)
7
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f(x) = ln(x)
f’(x) = 1/x
8
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f(x) = loga(x)
f’(x) = 1/xln(a)
9
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f(x) = ax
f’(x) = a^x ln(a)
10
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f(x) = [ ln(gx) ]
f’(x) = g’(x)/g(x)
11
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f(x) = [ a^f(x) ]
f’(x) = a^f(x) [ ln(a) ][ f’(x) ]
12
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ln(ab)
ln(a) + ln(b)
13
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ln(a/b)
ln(a) - ln(b)
14
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f(x) = sin^-1(u)
f’(x) = u’/sqrt 1-u^2
15
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f(x) = cos^-1(u)
f’(x) = -u’/sqrt 1-u^2
16
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f(x) = tan^-1(u)
f’(x) = u’/1+u^2
17
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f(x) = e^x
f’(x) = e^x
18
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f(x) = e^u
f’(x) = e^u * u’
Note 
Flashcards (21)