Trig Function Derivatives

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12 Terms

1
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d/dx (sin(x))

cos(x)

2
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d/dx (cos(x))

-sin(x)

3
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d/dx (tan(x))

sec^2(x)

4
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d/dx (cot(x))

-csc^2(x)

5
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d/dx (sec(x))

sec(x)tan(x)

6
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d/dx (csc(x))

-csc(x)cot(x)

7
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d/dx (sin⁻¹x)

1/√(1-x²)

8
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d/dx (cos⁻¹x)

-1/√(1-x²)

9
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d/dx (tan⁻¹x)

1/(1+x²)

10
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d/dx (csc⁻¹x)

-1/(|x|√(x²-1))

11
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d/dx (sec⁻¹x)

1/(|x|√(x²-1))

12
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d/dx (cot⁻¹x)

-1/(1+x²)