WJEC A2 Unit 3 Pure Mathematics B overview quiz quiz

To make the algebra shorter

So the contradiction is that numerator and denominator share a factor

Because root 2 is rational

To avoid using even numbers

Assume the statement is true

Assume the negation of the statement

Prove a related statement

Find a counterexample

Apply f first, then g

Multiply f by g

Apply g first, then f

Add f and g

The x-axis

The y-axis

The line y equals minus x

The line y equals x

the modulus of r is less than 1

the modulus of r is greater than 1

r equals 1

the first term is positive

all real x

the modulus of x less than 1

x greater than 0 only

integer x only

1 plus cot squared equals cosec squared

1 plus tan squared equals sec squared

sin 2 theta equals 2 sin cos

cos 2 theta equals 1 minus 2 sin squared

a plus b

the square root of (a squared plus b squared)

a times b

a minus b

dx by dt divided by dy by dt

dy by dt times dx by dt

dy by dt divided by dx by dt

dy by dt plus dx by dt

(u prime v plus u v prime) over v squared

(v u prime minus u v prime) over v squared

u prime over v prime

u prime v minus u v prime

2y

2y times dy by dx

y squared

2 dy by dx

The chain rule

The quotient rule

The product rule

The power rule

x squared over 2 plus c

the natural log of the modulus of x plus c

minus 1 over x squared plus c

1 plus c

f has a maximum between a and b

f has a root between a and b

f is increasing on the interval

f is a straight line

x next equals x plus f(x) over f prime(x)

x next equals x minus f(x) over f prime(x)

x next equals f(x) over f prime(x)

x next equals x minus f prime(x) over f(x)