已知函数y=y(x)由方程ey+6xy+x2-1=0确定,则y"(0)=().
举一反三
- (2002年试题,2)已知函数y=y(x)由方程ey+6xy+x2一1=0确定,则y""(0)=__________.
- 设y=y(x)是由方程x2-y+1=ey所确定的隐函数,则d2ydx2|x=0=______.
- 设函数y=y(x)由ex+y-cos(xy)=0确定,则dy|x=0+______.
- 设函数y=y(x)由方程xy=yx所确定,则y’(1)=()。
- 4.已知二元函数$z(x,y)$满足方程$\frac{{{\partial }^{2}}z}{\partial x\partial y}=x+y$,并且$z(x,0)=x,z(0,y)={{y}^{2}}$,则$z(x,y)=$( ) A: $\frac{1}{2}({{x}^{2}}y-x{{y}^{2}})+{{y}^{2}}+x$ B: $\frac{1}{2}({{x}^{2}}{{y}^{2}}+xy)+{{y}^{2}}+x$ C: ${{x}^{2}}{{y}^{2}}+{{y}^{2}}+x$ D: $\frac{1}{2}({{x}^{2}}y+x{{y}^{2}})+{{y}^{2}}+x$