Plot `y=x+sinx.`

Plot y=sinx and y=(1)/(2)sinx .

Plot y=sin(x+(pi)/(4)) and y =sin(x-(pi)/(4)) .

Plot y=sinxa n dy=2sinxdot

Plot y=|x| and y=|x|+2.

Plot y=|x| and y=|x|-2.

Plot y=|x| and y=|x-2|

Plot y=|x| and y=|x+2|

Plot y=|x|-2 and hence f(x)=(1)/(|x|-2)

Verify that the given function (explicit or implicit) is a solution of the corresponding differential equation: y = x sinx : xy' = y + x sqrt(x^2 - y^2)

Find dy/dx if y= x sinx