Plot the graph of the relation

and calculate the derivatve.

- Choose
*Beginning Calculus*from the initial menu and press . - Use the arrow keys to move to the menu item
*Graph F(x,y)=c*, press and . - At the prompt
*F(x,y) =*, enter the formulasin(x+y) - y^2 cos(x) - and use the bounds
- x0 = -4 x1 = 4
- y0 = -3 y1 = 3

- At the prompt,
*N =*, enter 1 and - at the prompt,
*c_1 =*, enter 0 You will then see the graph of this relation. - Press and
- Use the arrow keys to move to
*Implicit Differ.*and press and . - Use the arrow keys to move to
*F(x,y)=0*and press . - At the prompt
*F(x,y)=*just press (the equation is still stored in the computer - just beneath the latter prompt you should see F(x,y) = Sin[x + y] - (y^2) Cos x). - After a little delay, you should see:
dy dR/dx -- = - ----- , where dx dR/dy dR/dx = Cos [x + y] + (y ^2) Sin x dR/dy = Cos [x + y] - 2(Cos x) y Press <Space>: