How do you find the derivative of x2x+111+x?

1 Answer
May 21, 2015

You find it very carefully...lol

Use the Quotient Rule, Power Rule, Linearity, and the Chain Rule:

ddx(x2x+111+x)

=(1+x)12(x2x+1)12(2x1)(x2x+11)12x12(1+x)2

=2x1+2x32x122x2x+1x2x+112x(1+x)2

=2x32x12+2x2x(x2x+1x2x+1)2xx2x+1(1+x)2

=x2+2xxx1+x2x+12x3x2+x(1+x)2