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Derivatives & Differentiation
AP Calc Derivative List
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Calculus
Derivatives & Differentiation
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17 Terms
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1
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f(x)
f’(x)
2
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sin(x)
cos(x)
3
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cos(x)
\-sin(x)
4
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tan(x)
sec²(x)
5
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cot(x)
\-csc²(x)
6
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sec(x)
sec(x)tan(x)
7
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csc(x)
\-csc(x)cot(x)
8
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ln(x)
1/x
9
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logₐ(x)
1/xlna
10
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eˣ
eˣ
11
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aˣ
aˣln(a)
12
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sin⁻¹(x)
1/√1-x²
13
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cos⁻¹(x)
\-1/√1-x²
14
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tan⁻¹(x)
1/1+x²
15
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cot⁻¹(x)
\-1/1+x²
16
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sec⁻¹(x)
1/x √x²-1
17
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csc⁻¹(x)
\-1/x √x²-1