Power Rule for Derivative

The derivative of a variable raised to a power is the product of the power and the expression, then you reduce the power by 1.

Solution for Quadratic Equation

一元二次方程 y = ax^2+bx+c (a\ne 0 ) 有两个相同或不同的解, 即:


x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}

Arithmetic and geometric means inequality

The arithmetic and geometric means inequality, or the AM–GM inequality, states that the arithmetic mean of a list of positive real numbers is greater than or equal to the geometric mean of the same list; and further, that the two means are equal if and only if every number in the list is equal to each other.