Calculus Derivative Formulas: Basic and Advanced Concepts

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Last updated 11:11 PM on 9/25/26
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21 Terms

1
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What is the derivative of a constant?

0

2
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What is the derivative of cx?

c

3
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What is the derivative of x^n?

nx^(n-1)

4
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What is the derivative of √x?

1/(2√x)

5
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What is the derivative of sin(x)?

cos(x)

6
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What is the derivative of tan(x)?

sec²(x)

7
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What is the derivative of sec(x)?

sec(x)tan(x)

8
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What is the derivative of cos(kx)?

-k sin(kx)

9
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What is the derivative of sin(kx)?

k cos(kx)

10
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What is the derivative of ln(x)?

1/x

11
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What is the derivative of e^x?

e^x

12
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What is the derivative of log_a(x)?

1/(x ln(a))

13
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What is the derivative of a^x?

a^x ln(a)

14
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What is the derivative of tan(kx)?

k sec²(kx)

15
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What is the derivative of cot(x)?

-csc²(x)

16
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What is the derivative of csc(x)?

-csc(x)cot(x)

17
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What is the derivative of sec(kx)?

k sec(kx)tan(kx)

18
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What is the derivative of a^3?

3a^2 da

19
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What is the derivative of f(x)?

f'(x)

20
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What is the derivative of cf(x)?

cf'(x)

21
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What is the derivative of f(kx)?

kf'(kx)