y'=0

2.y=x^n

y'=nx^(n- 1)

3.4 Regional requirements of the new curriculum reform

3.y=a^x

y'=a^xlna

y=e^x

y'=e^x

4.y=logax(a is the radix and x is the real number)

y'= 1/x*lna

y=lnx

y'= 1/x

5.y=sinx

y'=cosx

6.y=cosx

y'=-sinx

7.y=tanx

y'= 1/cos^2x

8.y=u^v

= = & gt

y'=v '

*

u^v

*

lnu

+

hello

*

u^(v- 1)

*

v

In the process of derivation, there are several commonly used formulas to be used:

1.y=f[g(x)]，y'=f'[g(x)]？ G'(x) in' f' [g(x)], g(x) is regarded as a whole variable, while in G' (x), x is regarded as a variable. "

2.y=u/v,y'=(u'v-uv')/v^2

3. If the inverse function of y = f (x) is x=g(y), then y'= 1/x'