# A-level Mathematics/OCR/C1/Appendix A: Formulae

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< A-level Mathematics | OCR | C1

By the end of this module you will be expected to have learned the following formulae:

## Contents

## The Laws of Indices[edit]

## The Laws of Surds[edit]

## Polynomials[edit]

### Parabolas[edit]

If f(x) is in the form

- -b is the axis of symmetry
- c is the maximum or minimum y value

Axis of Symmetry =

### Completing the Square[edit]

becomes

### The Quadratic Formula[edit]

- The solutions of the quadratic are:
- The discriminant of the quadratic is

## Errors[edit]

## Coordinate Geometry[edit]

### Gradient of a line[edit]

### Point-Gradient Form[edit]

The equation of a line passing through the point and having a slope m is .

### Perpendicular lines[edit]

Lines are perpendicular if

### Distance between two points[edit]

### Mid-point of a line[edit]

### General Circle Formulae[edit]

### Equation of a Circle[edit]

, where (h,k) is the center and r is the radius.

## Differentiation[edit]

### Differentiation Rules[edit]

- Derivative of a constant function:
- The Power Rule:
- The Constant Multiple Rule:
- The Sum Rule:
- The Difference Rule:

### Rules of Stationary Points[edit]

- If and , then c is a local maximum point of f(x). The graph of f(x) will be concave down on the interval.
- If and , then c is a local minimum point of f(x). The graph of f(x) will be concave up on the interval.
- If and and , then c is a local inflection point of f(x).

*This is part of the C1 (Core Mathematics 1) module of the A-level Mathematics text.*