12-20-2010, 10:18 PM
2nd. y=(1+x2) etan-1x
dy/dx = (1+x2) d/dx (etan-1x) + (etan-1x) d/dx (1+x2)
dy/dx = (1+x2) etan-1x d/dx (tan-1x) +etan-1x(2x)
=etan-1x (1+x2).1/(1+x2) +2x(etan-1x)
etan-1x +2x(etan-1x)
etan-1x (1+2x)
dy/dx = (1+x2) d/dx (etan-1x) + (etan-1x) d/dx (1+x2)
dy/dx = (1+x2) etan-1x d/dx (tan-1x) +etan-1x(2x)
=etan-1x (1+x2).1/(1+x2) +2x(etan-1x)
etan-1x +2x(etan-1x)
etan-1x (1+2x)
