1, monotonicity of function

(1) set

The world is increasing its functions;

Up is a decreasing function.

(2) Let the function be differentiable in a certain interval, and if it is, it is increasing function; If so, it is a decreasing function.

2. The parity of the function

It is an even function for any one of the domains;

For any one of the domains, there is a odd function.

The images of odd functions are symmetrical about the origin, and the images of even functions are symmetrical about the Y axis.

3. The geometric meaning of the derivative of the function at this point.

The derivative of a function at a point is the slope of the tangent of the curve at a point and the corresponding tangent equation.

Extended data:

Arithmetic progression's general formula: an-a 1-(n- 1) d

Sum of the top n items in arithmetic progression: sn = [n (a1+an)]/2 = na1+[n (n-1) d]/2.

Geometric series formula: an = a1* q (n-1);

Sum of the first n terms of geometric series: Sn = a1(1-q n)/(1-q) = (a1-a1q n)/(1-q).

Baidu Encyclopedia-Mathematical Formula