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

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

The Laws of Indices[edit]

The Laws of Surds[edit]

Polynomials[edit]

Parabolas[edit]

If f(x) is in the form

  1. -b is the axis of symmetry
  2. 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]

  1. Derivative of a constant function:

  2. The Power Rule:

  3. The Constant Multiple Rule:

  4. The Sum Rule:

  5. 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.