Dx To Memorize 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^2(x)
4
Q
What is the derivative of cot(x)?
A
-csc^2(x)
5
Q
What is the derivative of sec(x)?
A
sec(x)tan(x)
6
Q
What is the derivative of csc(x)?
A
-csc(x)cot(x)
7
Q
What is the derivative of ln(x)?
A
1/x
8
Q
What is the derivative of e^x?
A
e^x
9
Q
What is the derivative of a^x where a is a constant?
A
a^x * ln(a)
10
Q
True or False: The derivative of arcsin(x) is 1/sqrt(1-x^2).
A
True
11
Q
True or False: The derivative of arccos(x) is -1/sqrt(1-x^2).
A
True
12
Q
Fill in the blank: The derivative of arctan(x) is ______.
A
1/(1+x^2)
13
Q
What is the derivative of sinh(x)?
A
cosh(x)
14
Q
What is the derivative of cosh(x)?
A
sinh(x)
15
Q
What is the derivative of tanh(x)?
A
sech^2(x)
