高中数学导数

C'=0(C为常数函数);

(x^n)'=nx^(n-1)(n∈Q*);熟记1/X的导数

(sinx)'=cosx;

(cosx)'=-sinx;

(tanx)'=1/(cosx)^2=(cx)^2=1+(tanx)^2

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

(cx)'=tanx·cx

(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)

(arccx)'=1/(|x|(x^2-1)^1/2)

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

(sinhx)'=hcoshx

(coshx)'=-hsinhx

(tanhx)'=1/(coshx)^2=(chx)^2

(coth)'=-1/(sinhx)^2=-(cschx)^2

(chx)'=-tanhx·chx

(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)

(archx)'=1/(x(1-x^2)^1/2)

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

(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^ny'=nx^(n-1)

.y=a^xy'=a^xlna

y=e^xy'=e^x

y=lnxy'=1/x

.y=sinxy'=cosx

.y=cosxy'=-sinx

.y=tanxy'=1/cos^2x

.y=cotxy'=-1/sin^2x

.y=arcsinxy'=1/√1-x^2

.y=arccosxy'=-1/√1-x^2

.y=arctanxy'=1/1+x^2

.y=arccotxy'=-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)=cosxf'(x)=-sinx

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

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

(x>0)

f(x)=tanxf'(x)=1/cos^2x

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

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