(C)'=0，

(x^a)'=ax^(a- 1)，

(a^x)'=(a^x)lna,a>0,a≠ 1； (e^x)'=e^x

[Log<A>X]' =1[xlna], a>0, a ≠1; (lnx)'= 1/x

(sinx)'=cosx

(cosx)'=-sinx

(tanx)'=(secx)^2

(cotx)'=-(cscx)^2

(arcsinx)'= 1/√( 1-x^2)

(arccosx)'=- 1/√( 1-x^2)

(arctanx)'= 1/( 1+x^2)

(arccotx)'=- 1/( 1+x^2)

② Four operational formulas

(u+v)'=u'+v '

(u-v)'=u'-v '

(ultraviolet)' = u' v+ ultraviolet'

(u/v)'=(u'v-uv')/v^2

③ Formula of derivative rule of compound function

y=f(t)，t=g(x)，dy/dx=f'(t)*g'(x)

④ The derivative formula of the parametric equation determines the function.

x=f(t)，y=g(t)，dy/dx=g'(t)/f'(t)

⑤ Derivation formula of inverse function

Y=f(x) and x=g(y) are reciprocal functions, then f'(x)*g'(y)= 1.

⑥ higher derivative formula

f^<； n+ 1 & gt； (x)=[f^<； n & gt(x)]'

⑦ Derivation formula of variable upper bound integral function

[∫& lt； a，x & gtf(t)dt]'=f(x)

Extended data:

Not all functions can be exported; The differentiable function must be continuous, but the continuous function is not necessarily differentiable (for example, y=|x| is not differentiable at y=0).

For differentiable function f(x), x? F'(x) is also a function called the derivative function of f(x). The process of finding the derivative of a known function at a certain point or its derivative function is called derivative. Derivative is essentially a process of finding the limit, and the four algorithms of derivative also come from the four algorithms of limit.