题目
设f(u)具有二阶连续导数,且(x,y)=f(dfrac (y)(x))+yf(dfrac (x)(y)),则(x,y)=f(dfrac (y)(x))+yf(dfrac (x)(y)), A.(x,y)=f(dfrac (y)(x))+yf(dfrac (x)(y)), B.(x,y)=f(dfrac (y)(x))+yf(dfrac (x)(y)), C.(x,y)=f(dfrac (y)(x))+yf(dfrac (x)(y)), D.(x,y)=f(dfrac (y)(x))+yf(dfrac (x)(y)),
设f(u)具有二阶连续导数,且
则
A.
B.
C.
D.
则
A.

B.

C.

D.

题目解答
答案
A. $\dfrac {2y}{x}f'(\dfrac {y}{x})$