Wait just a minute. Hold up. Hee haw. Whoa !
Coming down to Earth for just a second ... what in the world is
the "distance" between integers anyway !
René Descartes was the person who created analytic geometry and the Cartesian coordinate system
Y = xe^x
dy/dx(e^x x)=>use the product rule, d/dx(u v) = v*(du)/(dx)+u*(dv)/(dx), where u = e^x and v = x:
= e^x (d/dx(x))+x (d/dx(e^x))
y' = e^x x+ e^x
y'(0) = 1 => slope of the tangent
slope of the normal = -1
y - 0 = -1(x - 0)
y = -x => normal at origin
4) (1,3)
This is because in order to keep the ordered pairs a function, x cannot repeat. 1 is the only x that has nor repeated. Hope this helps mate.
