Special Derivatives Flashcards
1
Q
What is the derivative of sin(x)?
A
cos(x)
2
Q
What is the derivative of cos(x)?
A
-sin(x)
3
Q
What is the derivative of tan(x)?
A
[sec(x)]^2
4
Q
What is the derivative of sec(x)?
A
sec(x)tan(x)
5
Q
What is the derivative of csc(x)?
A
-csc(x)cot(x)
6
Q
What is the derivative of cot(x)?
A
-[csc(x)]^2
7
Q
What is the derivative of e^x?
A
e^x
8
Q
What is the derivative of a^x?
A
[ln(a)] * a^x
9
Q
What is the derivative of ln(x)?
A
1/x
10
Q
What are the trigonometric identities?
A
[sin(x)]^2 + [cos(x)]^2 = 1
[sec(x)]^2 = 1 + [tan(x)]^2
[csc(x)]^2 = 1 + [cot(x)]^2
