Derivatives and Integrals

Question 1

Derivative of sinx?

Answer 1

= cosx

Question 2

Derivative of x?

Answer 2

1

Question 3

Derivative of cosx?

Answer 3

-sinx

Question 4

Derivative of tanx?

Answer 4

=sec^2x

Question 5

Derivative of secx?

Answer 5

secxtanx

Question 6

Derivative of cscx?

Answer 6

-cscxcotx

Question 7

Derivative of cotx?

Answer 7

-csc^2x

Question 8

Derivative of a^x ?

Answer 8

a^xln(a)

Question 9

Derivative of e^x?

Answer 9

e^x

Question 10

Derivative of lnx?

Answer 10

1/x

Question 11

Anti-Derivative of 0?

Answer 11

c

Question 12

Anti-Derivative of k?

Answer 12

kx + c

Question 13

Anti-Derivative of k f(x)?

Answer 13

k • d/dx f(x) + c

Question 14

How do you do a derivative?

Answer 14

Multiply the number out front by the exponent and subtract one from the exponent

Question 15

How do you do an anti-derivative?

Answer 15

Add one to exponent and divide by that number

Question 16

Anti-Derivative of cosx?

Answer 16

=sinx+c

Question 17

Anti-Derivative of sinx?

Answer 17

= -cosx+ c

Question 18

Anti-Derivative of k?

Answer 18

=x+c

Question 19

Anti-Derivative of 1/x?

Answer 19

=lnx+c

Question 20

Anti-Derivative of e^x?

Answer 20

=e^x+c

Question 21

Anti-Derivative of sec^2x?

Answer 21

=tanx+c

Question 22

Anti-Derivative of csc^2x?

Answer 22

=-cotx+c

Question 23

Anti-Derivative of tanxsecx?

Answer 23

=secx+c

Question 24

Anti-Derivative of cotxcscx?

Answer 24

=-cscx+c

Question 25

What is the Pythagorean Theorem?

Answer 25

a^2 + b^2 = c^2

Question 26

Derivative of -cosx?

Answer 26

sinx

Question 27

Derivative of -sinx?

Answer 27

-cosx

Question 28

Anti-Derivative of -sinx?

Answer 28

=cosx+c

Question 29

Anti-Derivative of -cosx?

Answer 29

=-sinx+c