AP Calc Derivatives

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21 Terms

1
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d/dx [c]

0

2
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d/dx [xn]

nxn-1

3
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d/dx cosx

-sinx

4
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d/dx sinx

cosx

5
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d/dx ax

axlna

6
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d/dx ex

ex

7
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d/dx logax

1/xlna

8
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d/dx lnx

1/x

9
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d/dx logex

1/x

10
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h(x) = fg

f’g +fg’

11
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h(x) = f/g

gf’-fg’/g2

12
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d/dx tanx

sec2x

13
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d/dx cotx

-csc2x

14
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d/dx secx

secxtanx

15
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d/dx cscx

-cscxcotx

16
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Solve. f(x) = 8xsinx

8sinx + 8xcosx

17
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Solve. f(x) = log2x - sinx

1/xln2 - cosx

18
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Solve. f(x) = 3lnx +ex

3/x + ex

19
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Solve. f(x) = sinx/x

xcosx - sinx/x2

20
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Solve. f(x) = 5 - cscx

cscxcotx

21
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Solve. f(x) = 2xtanx

2tanx + 2xsec²x