# Maths Core 1 Helpsheet

This is a selection of easy to remember tips for the main subjects in the core 1 exam. hope it helps

- Created by: Alex Blake
- Created on: 23-05-10 17:20

First 147 words of the document:

Mathematics Core 1 Help Sheet.

EQUATIONS OF LINES

1. Label the points (X1, Y1), (X2, Y2)

2. Find the Gradient and call it M

M= (Y2 Y1) / (X2 X1)

3. Write down the equation using, Y Y1 = M(X X1)

4. Convert to any other forms if needed

DIFFERENTIATION AND GRADIENTS

To find the gradient of a curve at a certain point

1) Differentiate the equation of the curve

2) Work out the derivative at the point

An increasing function has a positive gradient

A decreasing function has a negative gradient

STATIONARY POINTS

1) Find stationary points by solving

dy/dx= 0 or f''(x) =0

2) Differentiate again to decide whether it's a maximum or a minimum point

3) If d^2/dx^2 < 0 it's a maximum point

if d^2/dx^2 > 0 it's a minimum point

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