Basic Differentiation Rules Flashcards Preview

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Flashcards in Basic Differentiation Rules Deck (24)
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1

d/dy [ln u]

u'/u

2

d/dy [x]

1

3

d/dx [a^u]

(ln a) a^u u'

4

d/dx [|u|]

(u/|u|) u'
u cannot equal 0

5

d/dx [u/v]

vu'- uv'
———–
v^2

6

d/dx [logau]

u'/ (ln a)u

7

d/dx [u^n]

(nu^n-1) u'

8

d/dx [c]

0

9

d/dx [e^u]

(e^u) u'

10

d/dx [uv]

u'v+ uv'

11

d/dx [u+- v]

u' +- v'

12

d/dx [sin u]

(cos u) u'

13

d/dx [cos u]

-(sin u) u'

14

d/dx [tan u]

(sec^2 u) u'

15

d/dx [cot u]

-(csc^2 u) u'

16

d/dx [sec u]

(secutanu) u'

17

d/dx [csc u]

-(cscucotu) u'

18

d/dy [cu]

cu'

19

d/dx [arcsin u]

u'/ square root 1-u^2

20

d/dx [arccos u]

-u'/ square root 1-u^2

21

d/dx [arctan u]

u'/ 1+u^2

22

d/dx [arccot u]

-u'/ 1+u^2

23

d/dx [arcsec u]

u'/ |u| square root u^2 -1

24

d/dx [arccsc u]

-u'/ |u| square root u^2 -1