函数88y=ln(x^2-9y^2)导数如何计算

dy/dx=x/[44(x^2+9y^2)+9y].构造函数导数法设F(x,y)=88y-ln(x^2-9y^2),则F(x,y)对x求导有:F'x=-2x/(x^2-9y^2),进一步F(x,y)对y求导有:F'y=88+18y/(x^2-9y^2),所以有:dy/dx=-F'x/F'y=[2x/(x^2-9y^2)]/[88+18y/(1x^2-9y^2)]=x/[44...

y=ln(1x^2+2x+1)的导数计算

∴dy/dx=(1x^2+2x+1)'/(1x^2+2x+1)=(2x+2)/(1x^2+2x+1)=2/(x+1)。※.导数定义法计算∵y=ln(1x^2+2x+1),∴dy/dx=lim(t→0){ln[1(x+t)^2+2(x+t)+1]-ln(1x^2+2x+1)}/t,=lim(t→0)ln{[1(x+t)^2+2(x+t)+1]/(1x^2+2x+1)}/t,=lim(t→...

z=f(x^2-y^2,ln(x-y))求z对x,y的偏导数

dz/dx=f1'*(2x-0)+f2'*(1-0)/(x-y)=2xf1'+f2’/(x-y);同理,求z对y的偏导数时,x看成常数,则:dz/dy=f1'*(0-2y)+f2'*(0-1)/(x-y)=-2yf1'-f2'/(x-y)。

不定积分的求法-不定积分常用方法小结

4.∫sin(x2)dx4.\int_{}^{}sin(x^{2})dx5.∫cos(x2)dx5.\int_{}^{}cos(x^{2})dx6.∫exxdx6.\int_{}^{}\frac{e^{x}}{x}dx7.∫dxlnx7.\int_{}^{}\frac{dx}{lnx}8.∫lnxx+adx(a≠0)8.\int_{}^{}\frac{lnx}{x+a}dx(a\ne0)9.∫dx1+x49.\int_{}^{...