AP Calc BC: Derivatives

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16 Terms

1
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cos(x)

-sin(x)

2
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sin(x)

cos(x)

3
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e^x

e^x

4
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x^n

nx^(n-1)

5
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tan(x)

sec(x)²

6
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cot(x)

-csc(x)²

7
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sec(x)

sec(x)tan(x)

8
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csc(x)

-csc(x)cot(x)

9
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tan⁻¹(u)

1/(1+u²) x (du/dx)

10
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sin⁻¹(u)

1/(1-u²)^(1/2) x du/dx

11
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cos⁻¹(u)

-1/(1-u²)^(1/2) x du/dx

12
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sec⁻¹(u)

1/( |u| x (u²-1)^(1/2)) x du/dx

13
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csc⁻¹(u)

-1/( |u| x (u²-1)^1/2)) x du/dx

14
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ln(u)

1/u x du/dx

15
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a^u

a^u x ln(a) x du/dx

16
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log_b(u)

1/lnB x 1/u x du/dx