fx=-x (1 x^2)求导
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f(x)=ax²+bx+cf(0)=0+0+c=1c=1f(x+1)-f(x0=a(x+1)²+b(x+1)+c-ax²-bx-c=2ax+a+b=2x所以2a=2a+b
有点慢你能等等吗?再答:
y=(x²-x)e^(1-x)y'=(2x-1)e^(1-x)+(x²-x)*e^(1-x)*(-1)=(2x-1-x²+x)e^(1-x)=(-x²+3x-1
f'(1)=lim(h->0)(f(1+h)-f(1))/h=lim(h->0)3h/h=3再问:不是3h-1/h再答:f(1+h)=3(h+1)-1=3h+2f(1)=3-1=2f(1+h)-f(1
x*x(1+lnx)-2
等式两边取对数有:lny=1/3ln[x*(x^2+1)/(x-1)^2]化简得3lny=lnx+ln(x^2+1)-2ln|x-1|两边求导3y'/y=1/x+2x/(x^2+1)-2/(x-1)y
f(x)=(x-1)(x-2)(x-3)f'(x)=(x-2)(x-3)+(x-1)(x-3)+(x-1)(x-2)=x^2-5x+6+x^2-4x+3+x^2-3x+2=3x^2-12x+11
f(x)=2x/x^2+1是f(x)=2x/(x^2+1)的意思噻?f′(x)=[2(x^2+1)-2x*2x]/(x^2+1)^2=(2-2x^2)/(x^2+1)^2u/v求导为:(u′v-uv′
(1) 等式化简后:f(2)=±(√19/2)+3
y=f(x)=x^2xlny=2xlnx对x求导(1/y)*y'=2*lnx+2x*1/x=2lnx+2所以y'=y*(2lnx+2)所以f'(x)=x^2x(2lnx+2)
fx=lnx+a/xf'(x)=1/x-a/x²令f'(x)=0,则:1/x-a/x²=0解得:x=a已知函数定义域为:(0,+∞)当x<a时,f‘(x)<0故递减区间为:(0,a
f(x)=ln(x+√1+x^2)f'(x)=1/(x+√(1+x^2)*(x+√1+x^2)'=1/(x+√(1+x^2)*(1+(√1+x^2)'=1/(x+√(1+x^2)*(1+1/2*√(x
首先:(1)f(-1)=a-b+1=0b=a+1从f(-1)=0,f(x)的值都是正的,可以得到抛物线一定是开口向上的,所以a>0.又:f(x)=ax^2+(a+1)x+1=a(x^2+[(a+1)/
f(x)+2f(1/x)=xf(1/x)+2f(x)=1/x解得f(x)=2/(3x)-1/3
[x/(1+x²)]'=[(1+x²)-x*2x]/(1+x²)²=(1-x²)/(1+x²)²泪笑为您解答,请点击[采纳为满意回
当x≤1时f(x)=3x=2x=2/3当x>1时f(x)=-x=2x=-2因为x>1,所以则时无解所以x=2/3再问:那个是3x方再答:额.f(x)=3x^2=2x^2=2/3x=±√6/3±√6/3
f(x)=(2x+1)(x-1)=2x^2-2x+x-1=2x^2-x-1f'(x)=4x-1
解f'(x)=(x^2+xsinx+cosx)'=(x^2)'+(xsinx)'+(cosx)'=2x+x'sinx+x(sinx)'-sinx=2x+sinx+xcosx-sinx
答:xylny+y=e^(2x)把y看成是x的函数,等式两边求导就是复合函数的求导:(xylny+y)'=[e^(2x)]'(xylny)'+y'=2e^(2x)(x')ylny+x(ylny)'+y