AP Calc AB Trig Derivatives
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14 Terms
1
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sinx
cosx
2
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cosx
-sinx
3
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tanx
sec²x
4
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cotx
-csc²x
5
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secx
secx*tanx
6
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cscx
-cscx*cotx
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arcsinx
1
√(1-x²)
8
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arccosx
-1
√(1-x²)
9
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arctanx
1
1+x²
10
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arccotx
-1
1+x²
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arcsecx
1
|x|√(x²-1)
12
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arccscx
-1
|x|√(x²-1)
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How are the arctrig derivatives related?
For each of the pairs of derivatives (arcsin/arccos, arctan/arccot, and arcsec/arccsc) the one that starts with co is negative and the one that does not is positive. Every other part of the equation is the same.
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How can you apply the chain rule to arctrig?
The derivative of the inside function goes in the numerator, while the derivative of the outside function goes in the denominator.