Derivative Rules
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13 Terms
1
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(constant) d/dx c
= 0
2
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d/dx [mx+b]
m. (derivative of a linear function is the slope)
3
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d/dx (xⁿ)
nxⁿ⁻¹
4
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d/dx x
= 1
5
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d/dx [cf(x)]
cf'(x)
6
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d/dx [f(x) ± g(x)]
f'(x) ± g'(x)
7
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d/dx a^x
(ln a) a^x
8
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d/dx lnx
= 1/x
9
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d/dx e^x
= e^x
10
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d/dx e^kx
ke^kx
11
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d/dx [f(g(x))] (Chain Rule)
f'(g(x))g'(x)
12
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d/dx [f(x)/g(x)] (Quotient Rule)
g(x)f'(x)-f(x)g'(x)/g(x)^2
13
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d/dx [f(x)g(x)] (Product Rule)
f'(x)g(x) + f(x)g'(x)
Note 
Flashcards (43)