1, original function: y=c(c is a constant)

Derivative: y'=0

2. Original function: y = x n?

Derivative: y' = NX (n- 1)

3. Original function: y=tanx

Derivative: y' = 1/cos 2x

4. Original function: y=cotx?

Derivative: y' =- 1/sin 2x

5. Original function: y=sinx?

Derivative: y'=cosx

6. Original function: y=cosx

Derivation:? y'=-sinx

7. Original function: y = a x?

Derivative: y' = a xlna

8. Original function: y = e x

Derivation:? y'=e^x

9. Original function: y=logax?

Derivative: y'=logae/x

10, original function: y=lnx?

Derivative: y'= 1/x

Extended data:

Derivative learning method of high school mathematics

1, read more derivative formulas, remember several commonly used derivative formulas clearly, and use them flexibly when encountering derivative problems.

2. When solving a problem, first look at the definition domain, find the function, and divide the results. This makes it easier to judge symbols.

3. In general, let the derivative =0 and find the extreme point; Judging whether the sign of the derivative is positive or negative in the interval on both sides of the extreme point; If it is positive, the original function will increase, if it is negative, it will decrease, and then the image of the original function can be roughly drawn according to the increase and decrease.

According to the image, you can find what you want, such as the maximum or minimum.

4. Under special circumstances, the sign of the derivative itself can be directly determined, that is, when the derivative is equal to 0 and there is no solution, it means that the original function is monotonous in the whole section. If the derivative is always greater than 0, it will increase; If the derivative is always less than 0, subtract it.

Baidu encyclopedia-derivative