Calc Derivatives (Important Formulas and Theorems)

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16 Terms

1
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y’ sin u

(cos u)(u’)

2
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y’ tan u

(sec2 u)(u’)

3
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y’ sec u

(sec u)(tan u)(u’)

4
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y’ cos u

(-sin u)(u’)

5
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y’ csc u

(-csc u)(cot u)(u’)

6
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y’ cot u

(-csc2u)(u’)

7
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y’ [arc sin u]

u'/1-u2

8
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y’ [arc tan u]

u'/1+u2

9
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y’ [arc sec u]

u'/|u|u2-1

10
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y’ [arc cos u]

-u'/1-u2

11
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y’ [arc csc u]

-u'/|u|u2-1

12
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y’ [arc cot u]

-u'/1+u2

13
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y’ eu

(eu)(u’)

14
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y’ ln u

(1/u)(u’)

15
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y’ au

(au)(lna)(u’)

16
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y’ logau

(1/lna)(1/u)(u’)