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