高等数学(上册)习题答案_吴赣昌_人民大学出版社_高数_理工类
x
y=
1 y1 x1 x
(1+x)y=1 x x= y=
1+y1+x1+x
x
y2xy
y=x y2x+y=2x 2x= x=log2
1 y1 y2+1
x
1 x
y=log2
2
,x<0 1
f(x)= 0,x=0
1,0<x
f(x 1)
fx2 1
()
1,x 1<0 1,x<1
f(x 1)= 0,x 1=0 f(x 1)= 0,x=1
1,x 1>0 1,x>1
2
1 1,x 1<0,
fx2 1= 0,x2 1=0 fx2 1= 0,
1, 1,x2 1>0
x<1x=1x>1f{f[f(1)]}
()()
3
f(x)=x3 x
(x)=sin2x
π f 12
π1 π
=sin2=
12122 f(1)=0
π 3 1 1 1
f =f = =
122228
3
f(f(1))=f(0)=03 0=0
f{f[f(1)]}=f(0)=0
4
f(x)=
x1 x
f[f(x)]
f{f[f(x)]}