MAT 1140 - Derivatives and Rules to Memorize
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Last updated 2:51 AM on 9/21/26
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14 Terms
1
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power rule
f’(x) = nxn-1
2
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f(x) ± g(x)' =
f’(x) ± g’(x)
3
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cf(x) =
cf’(x)
4
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product rule → f(x)g(x)
f’(x)g(x) + f(x)g’(x)
5
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quotient rule → f(x)/g(x)
f’(x)g(x) - f(x)g’(x) / (g(x))2
6
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d/dx [sinx]
cos(x)
7
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d/dx [cosx]
-sin(x)
8
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d/dx [tanx]
sec2(x)
9
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d/dx [cotx]
-csc2(x)
10
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d/dx [secx]
sec(x)tan(x)
11
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d/dx [cscx]
-csc(x)cot(x)
12
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power rule chain rule → [(g(x))n]
n(g(x))n-1g’(x)
13
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chain rule for eg(x)
eg(x)g’(x)
14
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chain rule → f(g(x))
f’(g(x))g’(x)