导数公式大全

①?C'=0(C为常数函数)；???

②?(x^n)'=?nx^(n-1)?(n∈Q*)；熟记1/X的导数???

③?(sinx)'?=?cosx；???(cosx)'?=?-?sinx；???

(tanx)'=1/(cosx)^2=(secx)^2=1+(tanx)^2???

-(cotx)'=1/(sinx)^2=(cscx)^2=1+(cotx)^2???

(secx)'=tanx·secx???(cscx)'=-cotx·cscx???

(arcsinx)'=1/(1-x^2)^1/2???(arccosx)'=-1/(1-x^2)^1/2???

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

(arcsecx)'=1/(|x|(x^2-1)^1/2)???(arccscx)'=-1/(|x|(x^2-1)^1/2)???

④?(sinhx)'=hcoshx???(coshx)'=-hsinhx???

(tanhx)'=1/(coshx)^2=(sechx)^2???(coth)'=-1/(sinhx)^2=-(cschx)^2???

(sechx)'=-tanhx·sechx???(cschx)'=-cothx·cschx???

(arsinhx)'=1/(x^2+1)^1/2???(arcoshx)'=1/(x^2-1)^1/2???

(artanhx)'=1/(x^2-1)?(|x|<1)???(arcothx)'=1/(x^2-1)?(|x|>1)???

(arsechx)'=1/(x(1-x^2)^1/2)???(arcschx)'=1/(x(1+x^2)^1/2)???

⑤?(e^x)'?=?e^x；???(a^x)'?=?a^xlna?（ln为自然对数）???

(Inx)'?=?1/x（ln为自然对数）???

(logax)'?=(xlna)^(-1),(a>0且a不等于1)?(x^1/2)'=[2(x^1/2)]^(-1)???

(1/x)'=-x^(-2)?.y=c(c为常数)?y'=0??.y=x^n?????????????

y'=nx^(n-1)??.y=a^x?????????????

y'=a^xlna??y=e^x??????????????

y'=e^x??y=lnx???????????????

y'=1/x??.y=sinx????????????

y'=cosx??.y=cosx???????????

y'=-sinx??.y=tanx???????????

y'=1/cos^2x??.y=cotx???????????

y'=-1/sin^2x??.y=arcsinx??????

y'=1/√1-x^2??.y=arccosx?????

y'=-1/√1-x^2??.y=arctanx??????

y'=1/1+x^2??.y=arccotx???????

y'=-1/1+x^2?按照公式代就行了?

y=f(x)=c?(c为常数),则f'(x)=0?

f(x)=x^n??(n不等于0)?f'(x)=nx^(n-1)??(x^n表示x的n次方)?f(x)=sinx????????????

f'(x)=cosx?f(x)=cosx????????????f'(x)=-sinx?f(x)=a^x?????????????

f'(x)=a^xlna(a>0且a不等于1,x>0)?f(x)=e^x?????????????f'(x)=e^x?

f(x)=logaX???????????f'(x)=1/xlna?(a>0且a不等于1,x>0)?

f(x)=lnx?????????????f'(x)=1/x?(x>0)

f(x)=tanx????????????f'(x)=1/cos^2?x?

f(x)=cotx????????????f'(x)=-?1/sin^2?x?

导数运算法则如下?

(f(x)+/-g(x))'=f'(x)+/-?g'(x)?(f(x)g(x))'=f'(x)g(x)+f(x)g'(x)?

(g(x)/f(x))'=(f(x)'g(x)-g(x)f'(x))/(f(x))^2

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