Derivatives of Trigonometric Functions (+ Inverses!)
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0%Unit 3: Differentiation: Composite, Implicit, and Inverse Functions Mastery
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now updated to have inverses as well
Last updated 7:24 PM on 11/5/25
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12 Terms
1
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ƒ(x) = sin(x)
ƒ’(x) = cos(x)
2
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ƒ(x) = cos(x)
ƒ’(x) = -sin(x)
3
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ƒ(x) = tan(x)
ƒ’(x) = sec²(x)
4
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ƒ(x) = cot(x)
ƒ’(x) = -csc²(x)
5
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ƒ(x) = sec(x)
ƒ’(x) = sec(x) × tan(x)
6
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ƒ(x) = csc(x)
ƒ’(x) = -csc(x) × cot(x)
7
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ƒ(x) = sin⁻¹(x); ƒ(x) = arcsin(x)
ƒ’(x) = 1/√(1-x²)
8
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ƒ(x) = cos⁻¹(x); ƒ(x) = arccos(x)
ƒ’(x) = -1/√(1-x²)
9
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ƒ(x) = tan⁻¹(x); ƒ(x) = arctan(x)
ƒ’(x) = 1/(1+x²)
10
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ƒ(x) = cot⁻¹(x); ƒ(x) = arccot(x)
ƒ’(x) = -1/(1+x²)
11
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ƒ(x) = sec⁻¹(x); ƒ(x) = arcsec(x)
ƒ’(x) = 1/(|x|√(x²-1))
12
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ƒ(x) = csc⁻¹(x); ƒ(x) = arccsc(x)
ƒ’(x) = -1/(|x|√(x²-1))
