I. Functions

① linear function: y=kx+b

② quadratic function: y = ax 2+bx+c

③ Inverse proportional function: y=k/x direct proportional function; Y=kx when b=0.

④ exponential function: y = a x (a > 0 and not equal to 1)

⑤ logarithmic function: y = loga x loga1= ologaa =1.

Second, the derivation formulas of several common functions

①C'=0(C is a constant)

②(x^n)'=nx^(n- 1) (n∈Q)

③(sinx)'=cosx

④(cosx)'=-sinx

⑤(e^x)'=e^x

⑥ (a x)' = a A Xin (ln is natural logarithm).

Three, four algorithms of derivative

①(u v)'=u' v '

②(uv)'=u'v+uv '

③(u/v)'=(u'v-uv')/ v^2

Fourth, the derivative function of composite function

① Let y = u (t) and t = v (x), then y'(x) = u'(t)v'(x) = u' v'(x).

For example: y = t^2, t = sinx, then y'(x) = 2t * cosx = 2sinx*cosx = sin2x.

Memory Methods of Mathematical Formulas for Adult College Entrance Examination (Four Kinds)

1, symbolic memory method

When studying a chapter of knowledge, the candidates who review the mathematics in the adult college entrance examination should look at it first, draw wavy lines under the important parts with colored pens, and then memorize it. It is not necessary to read a whole chapter word by word from beginning to end, just look at the key points and remember the main contents of this chapter under its inspiration. This kind of memory is called symbolic memory.

2, classified memory method

In the mathematics course of adult college entrance examination, it is inevitable to encounter many mathematical formulas, and when it is difficult to remember for a while, these formulas can be grouped appropriately at this time.

For example, the derivative formula of 18 can be divided into four groups: (1) constant and derivative of power function (2); (2) Derivatives of exponential and logarithmic functions (4); (3) Derivative of trigonometric function (6); (4) The derivative of the inverse trigonometric function (6). There are seven derivative rules, which are divided into two groups: (1) derivative of complex variable functions of sum, difference, product and quotient (4); (2) Derivatives of inverse function, implicit function and power exponential function (3).

3. Memory method

When the examinee repeats the knowledge of a chapter, he does not look at the specific content, but achieves the purpose of repeating the memory through brain memory, which is called recall memory. In actual memory, recall memory method and mark memory method are used together.

4, reasoning memory method

There is an obvious logical relationship between many mathematical knowledge in the mathematics subjects of adult college entrance examination. To remember this knowledge, we only need to remember one, and the rest can be obtained by reasoning. This kind of memory is called inferential memory.