隱函數(shù)43x26x+12e18y=62x78y的導(dǎo)數(shù)計(jì)算主要內(nèi)容：本文主要通過(guò)鏈?zhǔn)角髮?dǎo)、全微分求導(dǎo)和函數(shù)求導(dǎo)法則，介紹隱函數(shù)43x26x+12e18y=62x78y的導(dǎo)數(shù)計(jì)算的主要過(guò)程和步驟。※.鏈?zhǔn)角髮?dǎo)法43x26x+12e18y=62x78y,隱函數(shù)變形有：

43e(26xlnx)+12e18y=62e(78ylnx)兩邊同時(shí)求導(dǎo)有：

43e(26xlnx)*(26lnx+eq\f(26x,x))+12e18y*18y'=62e(78ylnx)*(78y'lnx+eq\f(78y,x)),1118e(26xlnx)*(lnx+1)+216e18y*y'=4836e(78ylnx)*(y'lnx+eq\f(y,x)),

y'=eq\f(4836e(78ylnx)*eq\f(y,x)-1118e(26xlnx)*(lnx+1),e18y-4836e(78ylnx)lnx),=2*eq\f(2418e(78ylnx)*eq\f(y,x)-559e(26xlnx)*(lnx+1),108e18y-2418e(78ylnx)lnx),=2*eq\f(2418*x78y*eq\f(y,x)-559*x26x*(lnx+1),108e18y-2418*x78ylnx),=2*eq\f(2418*y*x(78y-1)-559*x26x*(lnx+1),(108e18y-2418*x78ylnx))?！?全微分法求導(dǎo)隱函數(shù)變形為：43e(26xlnx)+12e18y=62e(78ylnx)，使用全微分計(jì)算法，有：43e(26xlnx)*(26lnxdx+26dx)+216*e18ydy=62e(78ylnx)*(78lnxdy+78yeq\f(dx,x)),1118*e(26xlnx)*(lnx+1)dx+216*e18ydy=4836*e(78ylnx)*lnxdy+4836*e(78ylnx)yeq\f(dx,x)),[216*e18y-4836*e(78ylnx)*lnx]dy=[4836*e(78ylnx)eq\f(y,x)-1118*e(26xlnx)*(lnx+1)]dx,[216*e18y-4836*x78y*lnx]dy=[4836*yx(78y-1)-1118*x26x*(lnx+1)]dx,所以：eq\f(dy,dx)=eq\f(4836*yx(78y-1)-1118*x26x*(lnx+1),216*e18y-4836*x78y*lnx),=2*eq\f(2418*y*x(78y-1)-559*x26x*(lnx+1),108e18y-2418*x78ylnx)?！?函數(shù)求導(dǎo)法設(shè)F(x,y)=43x26x+12e18y-62x78y，則F對(duì)x,y的偏導(dǎo)數(shù)有：F'x=43e26xlnx*(26lnx+26)-62e(78ylnx)*eq\f(78y,x)=1118*e26xlnx(lnx+1)-4836*x78y*eq\f(y,x)=1118*x26x*(lnx+1)-4836*y*x(78y-1),F'y=216*e18y-62e78ylnx*78lnx=216*e18y-4836*x78y*lnx。此時(shí)所求函數(shù)y對(duì)x的導(dǎo)數(shù)有：y'=-eq\f(F'x,F'y)=-eq\f(1118*x26x*(lnx+1)-4836*y*x(78y-1),216*e18y-4836*x7