高等数学A上册习题解答 至微分中值定理

华中师范大学专用

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ÀK:

1. 3«m[0,1]þf (x)>0§Kf (0),f (1),f(1) f(0)½f(0) f(1)A ê ^S (B(A)f (1)>f (0)>f(1) f(0);(C)f(1) (0)>ff 2.¼êy=

2x(B)f (1)>f(1) f(0)>f (0);(D)f (1)>f(0) f(1)>f (0).

3(C)

(A)( ∞+∞)üNO\¶(B)( ∞,+∞)üN~ ;

(C)( 1,1)üNO,{«müN ¶(D)( 1,1)üN~ ,Ù{«müNO\.

3.¼êy=xarctanx ã/§3(B)(A)( ∞,+∞)??´à ¶

(B)( ∞,+∞)??´] ¶

(D)( ∞,0) à ,( ∞,0) ] .

f (x)x→0(C)( ∞,0) à ,( ∞,0) ] ¶

4. ¼êf(x)k ëY ꧅f (0)=0,lim(A)f(0)´f(x) 4 ¶(B)f(0)´f(x) 4 ¶

(C)(0,f(0))´- y=f(x) $:¶(D)f(0)Ø´f(x) 4 , !W K:

=1,K(B)

(0,f(0)) Ø´- y=f(x) $:.

5.éu¼êf(x)=x3§3«m[ 1,2]þ÷v. JF¥ ½n :ξ´1

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