Derivative Rules

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Calc 1

Last updated 12:06 AM on 10/12/26
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10 Terms

1
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d/dx [f(x)*g(x)]

f'(x)g(x) + g'(x)f(x)

2
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d/dx [f(x)/g(x)]

[f'(x)g(x)-g'(x)f(x)] / [(g(x))^2] [Low d(High) minus High d(Low), all over (low)(low)]

3
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d/dx sin x

cos x

4
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d/dx cos x

-sin x

5
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d/dx tan x

sec^2 x

6
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d/dx cot x

-csc^2 x

7
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d/dx sec x


sec x * tan x

8
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d/dx csc x

-csc x * cot x

9
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d/dx a^x

(a^x)*ln (a)

10
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d/dx log_a (x)

1/(xln a)