AP Calculus AB Derivatives Quiz

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15 Terms

1
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f '(xⁿ) =

nxⁿ⁻¹

2
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f '(sin(x)) =

cos(x)

3
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f '(cos(x)) =

-sin(x)

4
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f '(tan(x)) =

sec²(x)

5
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f '(cot(x)) =

-csc²(x)

6
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f '(sec(x)) =

sec(x)tan(x)

7
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f '(csc(x)) =

-csc(x)cot(x)

8
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f '(ln(x)) =

1/x

9
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f '(eⁿ) =

eⁿ

10
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f '(sin⁻¹(x)) =

1/(√x²-1)

11
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f '(cos⁻¹(x)) =

- 1/(√x²-1)

12
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f '(tan⁻¹(x)) =

1/(x²+1)

13
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f '(cot⁻¹(x)) =

- 1/(x²+1)

14
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f '(aⁿ) =

aⁿ ln(a)

15
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f '(log a x) =

1/ (x ln(a))