Deriv

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

What is the derivative of cot(x)?

Answer 4

-csc^2(x)

Question 5

What is the derivative of sec(x)?

Answer 5

sec(x)tan(x)

Question 6

What is the derivative of csc(x)?

Answer 6

-csc(x)cot(x)

Question 7

What is the derivative of arcsin(x)?

Answer 7

1 / sqrt(1 - x^2)

Question 8

What is the derivative of arccos(x)?

Answer 8

-1 / sqrt(1 - x^2)

Question 9

What is the derivative of arctan(x)?

Answer 9

1 / (1 + x^2)

Question 10

What is the derivative of arccot(x)?

Answer 10

-1 / (1 + x^2)

Question 11

What is the derivative of arcsec(x)?

Answer 11

1 / |x| * sqrt(x^2 - 1)

Question 12

What is the derivative of arccsc(x)?

Answer 12

-1 / |x| * sqrt(x^2 - 1)

Question 13

What is the derivative of sin(ax) where a is a constant?

Answer 13

a*cos(ax)

Question 14

What is the derivative of cos(ax) where a is a constant?

Answer 14

-a*sin(ax)

Question 15

What is the derivative of tan(ax) where a is a constant?

Answer 15

a*sec^2(ax)

Question 16

What is the derivative of cot(ax) where a is a constant?

Answer 16

-a*csc^2(ax)

Question 17

What is the derivative of sec(ax) where a is a constant?

Answer 17

a*sec(ax)tan(ax)

Question 18

What is the derivative of csc(ax) where a is a constant?

Answer 18

-a*csc(ax)cot(ax)

Question 19

What is the derivative of sin^2(x)?

Answer 19

2sin(x)cos(x)

Question 20

What is the derivative of cos^2(x)?

Answer 20

-2sin(x)cos(x)

Question 21

What is the derivative of tan^2(x)?

Answer 21

2tan(x)sec^2(x)

Question 22

What is the derivative of cot^2(x)?

Answer 22

-2cot(x)csc^2(x)

Question 23

What is the derivative of sec^2(x)?

Answer 23

2*sec(x)tan(x)

Question 24

What is the derivative of csc^2(x)?

Answer 24

-2*csc(x)cot(x)