Studied by 5 people
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
