Function and Derivative Formulas

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Function=definition Derivative=term/tricks to remember (prompt is definition)

Last updated 9:47 PM on 9/28/23
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20 Terms

1
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cosudu

sinu

2
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sec²udu

tanu

3
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secutanudu

secu

4
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-sinudu

cosu

5
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-csc²udu

cotu

6
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-cscucotudu

cscu

7
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“Add a cos in front”

How to remember trig functions?

8
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eu(du)

eu

9
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(1/u)(du)

lnu

10
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au(lna)(du)


aulna

au

11
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(1/ulna)(du)


“1 over ulna (like the bone)”

logau

12
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1/√(1-u²)(du)

sin-1u

13
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1/1+u2(du)

tan-1u

14
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1/|u|√(u²-1)(du)

sec-1u

15
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-1/√(1-u²)(du)

cos-1u

16
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-1/1+u2(du)

cot-1u

17
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-1/|u|√(u²-1)(du)

csc-1u

18
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“cos-” has a negative

Whats the difference between the “cos-” and the regular?

19
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(first)(second’)+(second)(first’)

Product Rule

20
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((low)(dhigh)-(high)(dlow))/low2

Quotient Rule