Formula Quiz (which i'm godawful at)

Question 1

d/dx[x^n]

Answer 1

n*x^(n-1)

Question 2

d/dx[m*x^n]

Answer 2

mn*x^(n-1)

Question 3

d/dx[f(x)*g(x)]

Answer 3

f’(x)g(x) + f(x)g’(x)

Question 4

d/dx[f(x)/g(x)]

Answer 4

f’(x)g(x) - f(x)g’(x)/(g(x)^2)

Question 5

d/dx[sinx]

Answer 5

cosx

Question 6

d/dx[cosx]

Answer 6

-sinx

Question 7

d/dx[secx]

Answer 7

secxtanx

Question 8

d/dx[tanx]

Answer 8

sec^2x

Question 9

d/dx[cscx]

Answer 9

-cscxcotx

Question 10

d/dx[cotx]

Answer 10

-csc^2x

Question 11

d/dx[f(g(x))]

Answer 11

g’(x)(f’(g(x))

Question 12

General power rule, let u be a function of x: d/dx[u^n]

Answer 12

nu^(n-1)*u’

Question 13

Area of a circle

Answer 13

πr^2

Question 14

Circumference of a circle

Answer 14

2πr

Question 15

Volume of a cylinder

Answer 15

πr^2h

Question 16

Volume of a cone

Answer 16

πr^2(h/3)

Question 17

Volume of a sphere

Answer 17

4/3(πr^3)

Question 18

Area of a triangle

Answer 18

1/2bh

Question 19

slope intercept of a line

Answer 19

y=mx+b

Question 20

point-slope equation of a line

Answer 20

y-y1=m(x-x1)

Question 21

area of a rectangle

Answer 21

lw

Question 22

area of square

Answer 22

s^2

Question 23

quadratic formula

Answer 23

-b/2a plus or minus square root (b^2-4ac) divided by 2a

Question 24

distance formula

Answer 24

D=square root (x2-x1)^2 +(y2-y1)^2

Question 25

surface area of a cylinder

Answer 25

2πrh+2πr^2

Question 26

integral of x^n dx

Answer 26

???

Question 27

integral of cosx dx

Answer 27

sinx + C

Question 28

integral of -csc^2x

Answer 28

cotx + C

Question 29

integral of f(x)dx from b to a

Answer 29

F(b)-F(a)

Question 30

integral of net change/displacement

Answer 30

integral of v(x) from b to a

Question 31

integral of total distance/volume/etc

Answer 31

integral of absolute |v(x)| from b to a

Question 32

midpoint formula

Answer 32

(x2+x1/2, y2+y1/2)

Question 33

slope formula

Answer 33

y2-y1/x2-x1

Question 34

logab=x if and only if:

Answer 34

10^b=a

Question 35

volume of a rectangular prism

Answer 35

v=lwh

Question 36

integral of tanu du

Answer 36

-ln|cosu| + C

Question 37

integral of cotu du

Answer 37

ln|sinu| + C

Question 38

integral of secu du

Answer 38

ln|secu + tanu| + C

Question 39

integral of cscu du

Answer 39

-ln|cscu+cotu| + C