∵△y=y'•△x
∴△y|x=-1,△x=-0.1=y′(-1)•(-0.1)
∴由已知条件:y'(-1)•(-0.1)=0.1
∴y'(-1)=-1
又y=f(x2)
∴y'=2xf'(x2)
∴y'(-1)=-2f′(1)
∴-2f'(1)=-1
∴f'(-1)=0.5
故选:D.
函数f(u)可导,y=f(x2)当自变量x在x=-1处取得增量△x=-0.1时,相应的函数增量△y的线性主部为0.1,则f′(1)=( ) A.-1 B.0.1 C.1 D.0.5
函数f(u)可导,y=f(x2)当自变量x在x=-1处取得增量△x=-0.1时,相应的函数增量△y的线性主部为0.1,则f′(1)=( )
A. -1
B. 0.1
C. 1
D. 0.5
A. -1
B. 0.1
C. 1
D. 0.5
数学人气:101 ℃时间:2019-12-20 08:56:19
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