calc A trig derivative formulas

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19 Terms

1
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d/dx (au)

= au ⋅ ln(a) ⋅du

2
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d/dx loga(u)

= [du] / [u ⋅ ln(a)]

3
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d/dx sin(u)

= cos(u) ⋅ du

4
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d/dx cos(u)

= -sin(u) ⋅ du

5
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d/dx tan(u)

= sec2(u) ⋅ du

6
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d/dx cot(u)

= -csc2(u) ⋅ du

7
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d/dx sec(u)

= sec(u) ⋅ tan(u) ⋅ du

8
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d/dx csc(u)

= -csc(u) ⋅ cot(u) ⋅ du

9
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d/dx arcsin(u)

= [du] / [√(1-u2)]

10
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d/dx arccos(u)

= -[du] / [√(1-u2)]

11
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d/dx arctan(u)

= [du] / [u2+1]

12
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d/dx arccot(u)

= -[du] / [u2+1]

13
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d/dx arcsec(u)

= [du] / [u√(u2-1)]

14
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d/dx arccsc(u)

= -[du] / [u√(u2-1)]

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if the trig function starts with co-,

the derivative is negative

16
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tan(u) is with

sec(u)

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cot(u) is with

csc(u)

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derivatives of tan(u) and cot(u) are always…

squared

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how many terms are in the derivative of sec(u) and csc(u)?

3 terms

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