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 The Laws of Surds Polynomials Parabolas 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 becomes The Quadratic Formula The solutions of the quadratic are: The discriminant of the quadratic is Errors Coordinate Geometry Gradient of a line Point-Gradient Form The equation of a line passing through the point and having a slope m is . Perpendicular lines Lines are perpendicular if Distance between two points Mid-point of a line General Circle Formulae Equation of a Circle , where (h,k) is the center and r is the radius. Differentiation Differentiation Rules Derivative of a constant function: The Power Rule: The Constant Multiple Rule: The Sum Rule: The Difference Rule: Rules of Stationary Points 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).