AP Calc AB: Derivative Trig Functions & more

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17 Terms

1
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f’(x)sinx

cosx

2
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f’(x)tanx

sec2x

3
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f’(x)secx

(secx)(tanx)

4
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f’(x)cosx

-sinx

5
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f’(x)cotx

-csc2x

6
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f’(x)cscx

-cscx(cotx)

7
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(cos2x) + (sin2x)

1

8
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f’(ex)

ex

9
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f’(lnx)

1/x @ x>0

10
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f’(ax)

ax * ln(a)

11
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f’(logax)

1/[x * ln(a)]

12
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f’(sin-1x)

1/[sqrt(1-x2)]

13
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f’(tan-1x)

1/(1+x²)

14
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f’(sec-1x)

1/[|x|(sqrt x2-1)]

15
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f’(cos-1x)

-1/sqrt(1-x2)

16
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f’(cot-1x)

-1/(1+x2)

17
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f’(csc-1x)

-1/[|x|(sqrt x2-1)]