ib math exam

1

x+c

ax^n, n≠-1

ax^n+1 / n+1 +c

x^-1

ln abs(x) + c

(ax+b)^-1

ln abs(ax+b) / a +c

ae^kx

ae^kx / k +c

sin(kx), k≠0

-cos(kx) / k +c

cos(2x)

2cos2x-1

1-2sin2x

cos2x-sin2x

sin(2x)

2sinxcosx

tan(2x)

2tanx/1-tan2x

sine deriv

cos

cos deriv

-sin

tan deriv

sec2

csc deriv

-cotcsc

cot deriv

-csc2

sec deriv

tansec

b^g(x)

b^g(x)*ln(b)*g’(x)

ln(g(x))

1/g(x) * g’(x)

logb(g(x))

1/ln(b) * 1/g(x) *g’(x)

e^u deriv

e^u*u’

ln(x) deriv

1/x

logb(x) deriv

1/ln(b) * 1/x

sphere

v: 4/3 pi r cubed

sa: 4 pi r squared

cylinder

v: pi r squared h

sa: 2 pi r h + 2 pi r squared

cone

v: 1/3 pi r squared h

sa: pi r s + pi r squared

median

centroid

perpendicular bisector

circumcenter

altitude

orthocenter

sampling techniques

simple

stratified

systematic

cluster

convenience *

quota *

lower inner fence

q1 - 1.5IQR

upper inner fence

q3+1.5IQR

C

1 + 3.3 ceiling log(n)

w

ceil largest-smallest/number of classes

growth rate

N = No(R)^t/d

FD

(deltax)^n x a x n!

less than, at least (x<r) or (x>=r)

binomcdf(n, p, r-1)

between two numbers binomcdf

(n, p, b) - (n, p, a-1)