经济数学y=1除以x-2 ln(4-x)
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![经济数学y=1除以x-2 ln(4-x)](/uploads/image/f/6724875-3-5.jpg?t=%E7%BB%8F%E6%B5%8E%E6%95%B0%E5%AD%A6y%3D1%E9%99%A4%E4%BB%A5x-2+ln%284-x%29)
分子分母同乘以√x^2+1-x再问:哪里来的分子分母?我问的是第一步是怎么来的?再答:把x+√x^2+1看成(x+√x^2+1)/1,分母看成1
y'=1-2x/(1+x²)=(1+x²-2x)/(1+x²)=(x-1)²/(1+x²)显然y'>0所以y单调增加
分子有理化,分子分母同乘以-x-√(x²-a²)结果是2lna-ln(-x-√(x²-a²))
y'=[ln(x+√(1+x²))]'=1/(x+√(1+x²))*[x+√(1+x²)]'=1/(x+√(1+x²))*[1+2x/2√(1+x²)
由题意得:y的方程式可以写为y=[1/根号下(1-x)]*[ln根号下(1+x)]求导y'=[1/根号下(1-x)]'*[ln根号下(1+x)]+[1/根号下(1-x)]*[ln根号下(1+x)]=[
两边相加都是0,没啥意义啊,我有一种方法
y'=[1/(1+x^2)]*(1+x^2)'=[1/(1+x^2)]*2x=2x/(1+x^2)
chainruley=f(g(x))y'=g'(x)f'(g(x))
复合函数f(x)=lnxg(x)=ln[ln(x)]r(x)=ln{lnln(x)]}r'(x)=[1/lnln(x)]g'(x)=[1/lnln(x)][1/ln(x)]f'(x)=[1/lnln(
y=(1+x)⁻¹ln(1-x)y'=(-1)(1+x)⁻²ln(1-x)+(1+x)⁻¹(1-x)⁻¹(-1)
ln(x-y)/ln(x+y)=ln(x-y-x-y)=ln(-2y)
Y=[LN(1-X)]^2?Y'=2LN|1-X|/(1-X)(-1)=-2LN|1-X|/(1-X)
y=ln(1-x^2)y'=(1-x^2)'/(1-x^2)=-2x/(1-x^2)
1,y=ln(1-x)y'=1/(1-x)*(1-x)'=1/(1-x)*(-1)=1/(x-1);2,y=ln[1/√(1-x)]=-ln√(1-x)y'=-1/√(1-x)*[√(1-x)]'=-
2x/(1+x^2)
y'=ln(2x^-1)'=(x/2)*2*(-1)/x^2=-1/x
x≤0时√x^2=-x所以y=0x>0时√x^2=x所以y=ln(2x+1)