Trig Differentiation w/ Numbers

Question 1

Differentiate -2sin(3x)

Answer 1

-6cos(3x)

Question 2

Differentiate cos(2x)

Answer 2

-2sin(2x)

Question 3

Differentiate 5sin(4x)

Answer 3

20cos(4x)

Question 4

Differentiate -3cos(3x)

Answer 4

9sin(3x)

Question 5

Differentiate 3tan(2x)

Answer 5

6sec^2(2x)

Question 6

Differentiate -7sec^2(2x)

Answer 6

-28sec^2(2x)tan(2x)

Question 7

Differentiate cot^2(x)

Answer 7

-2cot(x)cosec^2(x)

Question 8

Differentiate sec(2x)

Answer 8

2sec(2x)tan(2x)

Question 9

Differentiate 3sin^2(x)

Answer 9

6cos(x)sin(x)

Question 10

Differentiate tan^2(2x)

Answer 10

4sec^2(2x)tan(2x)

Question 11

Differentiate cosec(x)

Answer 11

-cot(x)cosec(x)

Question 12

Differentiate sec(x)

Answer 12

sec(x)tan(x)

Question 13

Differentiate cot(x)

Answer 13

-cosec^2(x)

Question 14

Differentiate cosec^2(x)

Answer 14

-2cot(x)cosec^2(x)

Question 15

Differentiate sec^2(x)

Answer 15

2sec^2(x)tan(x)

Question 16

Differentiate cot^2(x)

Answer 16

-2cot(x)cosec^2(x)

Question 17

Differentiate 2cot(2x)

Answer 17

-4cosec^2(2x)

Question 18

Differentiate 3cosec(2x)

Answer 18

-6cot(2x)cosec(2x)

Question 19

Differentiate 3sec(4x)

Answer 19

12sec(4x)tan(4x)

Question 20

Differentiate 2sec^2(3x)

Answer 20

12sec^2(3x)tan(3x)

Question 21

Differentiate 2cot^2(3x)

Answer 21

-12cot(3x)cosec^2(3x)

Question 22

Differentiate 6sin^2(2x)

Answer 22

24cos(2x)sin(2x)

Question 23

Differentiate 2cos^2(3x)

Answer 23

-12cos(3x)sin(3x)

Question 24

Differentiate 1/2tan^2(5x)

Answer 24

5sec^2(5x)tan(5x)

Question 25

Differentiate 0.5sec^2(5x)

Answer 25

5sec^2(5x)tan(5x)

Question 26

Differentiate 2cot(2x)

Answer 26

-4cosec^2(2x)

Question 27

Differentiate 3sec^2(2x)

Answer 27

12sec^2(2x)tan(2x)

Question 28

Differentiate 4cot^2(3x)

Answer 28

-24cot(3x)cosec^2(3x)

Question 29

Differentiate 4cosec(4x)

Answer 29

-16cot(4x)cosec(4x)

Question 30

Differentiate 3sin^2(6x)

Answer 30

36cos(6x)sin(6x)