Trig Derivative Shortcuts

Question 1

What is the derivative of sin(x)?

Answer 1

cos(x)

Question 2

What is the derivative of cos(x)?

Answer 2

-sin(x)

Question 3

What is the derivative of tan(x)?

Answer 3

sec^2(x)

Question 4

True or False: The derivative of sec(x) is sec(x)tan(x).

Answer 4

True

Question 5

Fill in the blank: The derivative of csc(x) is _____.

Answer 5

-csc(x)cot(x)

Question 6

What is the derivative of cot(x)?

Answer 6

-csc^2(x)

Question 7

Which trigonometric function has a derivative of -sin(x)?

Answer 7

cos(x)

Question 8

Multiple Choice: What is the derivative of sin(x) + cos(x)? A) cos(x) B) -sin(x) C) cos(x) - sin(x)

Answer 8

C) cos(x) - sin(x)

Question 9

Fill in the blank: The derivative of tan(x) is _____.

Answer 9

sec^2(x)

Question 10

True or False: The derivative of cos(x) is positive.

Answer 10

False

Question 11

What is the derivative of sec(x)?

Answer 11

sec(x)tan(x)

Question 12

What is the derivative of csc(x)?

Answer 12

-csc(x)cot(x)

Question 13

Multiple Choice: Which of the following is the correct derivative of cot(x)? A) csc^2(x) B) -csc^2(x) C) -sec^2(x)

Answer 13

B) -csc^2(x)