Learn: AP Calculus Trig Derivatives

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Last updated 3:05 PM on 10/11/26
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12 Terms

1
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sin(x)

y′ = cos(x)

2
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cos(x)

y′ = -sin(x)

3
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tan(x)

y′ = sec²(x)

4
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cot(x)

y′ = -csc²(x)

5
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sec(x)

y′ = sec(x)tan(x)

6
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csc(x)

y′ = -csc(x)cot(x)

7
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sin⁻¹(x)

y′ = 1/(√(1-x²))

8
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csc⁻¹(x)

y′ = -1/(|x|√(x²-1))

9
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cot⁻¹(x)

y′ = -1/(1+x²)

10
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sec⁻¹(x)

y′ = 1/(|x|√(x²-1))

11
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tan⁻¹(x)

y′ = 1/(x²+1)

12
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cos⁻¹(x)

y′ = -1/(√(1-x²))