Maths mock 2024

What happens when you bisect a chord

You find the equation of the line for the centre of the circle

Define and give the law of differentiation from first principles

(F(x+h) + F(x) )/ h - gives the gradient function, which you, limit to zero and then differentiate to then get the gradient

When is f’(x) = 0

When a straight line can be drawn as the graph is not increasing or decreasing

How to find the integral of both areas under a graph are equal

The two areas of the graph will be equal to eachother

Explain the function (x-5)

Moves right 5

-f(x)

Flip in the x axis (flip Y values)

F(-x)

Flip in the y axis (flip x)

What to use to prove there is a- no roots, b- one repeating root, or c- two different roots

B² - 4ac <0, =0 or >0

To find if something ‘lies in a circle’

Sub an x or Y value into the circle equation

When differentiating irl

Firstly remember it gives u the volume to work from the perimeter

Remember to do your stationary point and write out why ( dy/dx = 0)

Then do (d²y/dy²) to see if its a minimum or maximum

And finally sub your x = from your stationary point into your equation - depending what the question is asking

Point of inflection

A point on a curve where the curvature changes sign, indicating a change in the direction of the curve's concavity.

Types of transformations

Translation (movement)

Enlargement (by a scf)

rotation

Reflection y=(-x) flip y

• -y(x) flip x