Derivative function 20 questions
The skill of derivative method should first be familiar with the basic knowledge. The trick is to do more questions. Maybe you are tired of doing these things. Everyone says you are doing it, but you just have no effect. Because you haven't done it seriously, my suggestion is to recite some quite classic questions. I am a math major. I want to tell you that you can never learn math well without a certain memory.
The application of derivative in studying function 1. Monotonicity and derivative of function;
Generally speaking, the monotonicity of a function has the following relationship with the sign of its derivative: within a certain interval (a, b)
(1) If > 0, the function y=f(x) monotonically increases in this interval;
(2) If < 0, the function y=f(x) monotonically decreases in this interval;
2. Extremes and derivatives of functions:
Extreme value reflects the size of a function near a certain point.
The method of finding the extreme value of the function y=f(x) is as follows:
(1) If the left side is > 0 and the right side is < 0, it is the maximum;
(2) if it is near the left side < 0 and the right side > 0, it is the minimum value;
3. Maximum (minimum) value and derivative of the function:
Find the maximum and minimum values of the function y=f(x) on [a, b]:
(1) Find the extreme value of the function y=f(x) in [a, b];
(2) Compare the extreme value of the function y=f(x) with the function values f(a) and f(b) at the endpoint, where the largest is the maximum value and the smallest is the minimum value.