Special Derivatives

16 flashcardsby Edgar
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1
What is the derivative of sin(x)?
cos(x)
2
What is the derivative of cos(x)?
-sin(x)
3
What is the derivative of tan(x)?
sec²(x)
4
What is the derivative of cot(x)?
-csc²(x)
5
What is the derivative of sec(x)?
sec(x)tan(x)
6
What is the derivative of csc(x)?
-csc(x)cot(x)
7
What is the derivative of e^x?
e^x
8
What is the derivative of a^x (where a > 0)?
a^x ln(a)
9
What is the derivative of ln(x)?
1/x
10
What is the derivative of log_a(x)?
1 / (x ln(a))
11
What is the derivative of arcsin(x)?
1 / √(1 - x²)
12
What is the derivative of arccos(x)?
-1 / √(1 - x²)
13
What is the derivative of arctan(x)?
1 / (1 + x²)
14
What is the derivative of arccot(x)?
-1 / (1 + x²)
15
What is the derivative of arcsec(x)?
1 / (|x|√(x² - 1))
16
What is the derivative of arccsc(x)?
-1 / (|x|√(x² - 1))
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