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Last updated 11:59 AM on 9/18/26
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16 Terms

1
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d/da (a · b)

a′·b + a·b′

2
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d/da (a / b)

(a′·b - a·b′) / b²

3
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d/da (aⁿ)

n·aⁿ⁻¹ · a′

4
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d/da (bᵃ)

bᵃ · ln(b) · a′

5
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d/da (eᵃ)

eᵃ · a′

6
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d/da (ln(a))

(1/a) · a′

7
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d/da (logb(a))

1 / (a·ln(b))) * a′

8
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d/da (sin(a))

cos(a) · a′

9
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d/da (cos(a))

-sin(a) · a′

10
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d/da (tan(a))

sec²(a) · a′

11
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d/da (sec(a))

sec(a)·tan(a) · a′

12
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d/da (csc(a))

-csc(a)·cot(a) · a′

13
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d/da (cot(a))

-csc²(a) · a′

14
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d/da (arcsin(a))

1 / √(1 - a²)) · a′

15
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d/da (arccos(a))

(-1 / √(1 - a²)) · a′

16
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d/da (arctan(a))

(1 / (1 + a²)) · a′