Derivatives & Log Properties
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Last updated 10:35 PM on 4/23/26
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34 Terms
1
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k
0
2
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x
1
3
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k*f(x)
k*f’(x)
4
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Power Rule: xn
nxn-1
5
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(f(x) ± g(x))
f’(x) ± g’(x)
6
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Product Rule: f(x) * g(x)
g(x)f’(x) + f(x)g’(x)
7
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f(x)/g(x)
g(x)f’(x) - f(x)g’(x)/(g(x))2
8
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Chain Rule: f(g(x))
f’(g(x))*g’(x)
9
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sin(x)
cos(x)
10
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sin(kx)
kcos(kx)
11
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cos(x)
-sin(x)
12
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cos(kx)
-ksin(kx)
13
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tan(x)
sec2(x)
14
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ktan(kx)
ksec2(kx)
15
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csc(x)
-csc(x)cot(x)
16
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sec(x)
sec(x)tan(x)
17
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cot(x)
-csc2(x)
18
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sin-1(x)
1/√1-x2
19
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cos-1(x)
-1/√1-x2
20
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tan-1(x)
1/1+x2
21
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ex
ex
22
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ax
ax ln(a)
23
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akx
kakx ln(a)
24
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ln(x)
1/x
25
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logax
1/xlna OR ln x/ln a
26
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log (MN)
log M + log N
27
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log (M/N)
log M - log N
28
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log Mk
klogM
29
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loga(1)
0
30
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logaa
1
31
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logaak
k
32
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ln (1)
0
33
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ln ex
x
34
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e(x + lna)
aex