Derivative Rules
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Last updated 3:17 AM on 10/9/26
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17 Terms
1
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f(x) = c
f’(x) = 0
2
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f(x) = x
f’(x) = 1
3
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f(x) = ax
f’(x) = a
4
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f(x) = xn
f’(x) = nx(n-1)
5
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h(x) = f(x) ± g(x)
h’(x) = f’(x) ± g’(x)
6
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f(x) = sqrt(x)
f’(x) = 1/2sqrt(x)
7
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f(x) = ex
f’(x) = ex
8
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g(x) = cf(x)
g’(x) = cf'(x)
9
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f(x) = ax
f’(x) = ax * ln(a)
10
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f(x) = ln(x)
f’(x) = 1/x
11
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f(x) = loga(x)
f’(x) = 1/xln(a)
12
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f(x) = sinx
f’(x) = cosx
13
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f(x) = cosx
f’(x) = -sinx
14
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f(x) = tan(x)
f’(x) = sec2x
15
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f(x) = cotx
f’(x) = -csc2x
16
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f(x) = secx
f’(x) = secxtanx
17
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f(x) = cscx
f’(x) = -cscxcotx