1.if 2^x+2^y=2^(x+y) then dy/dx is equal to what?
2.If x.root(1+y)+y.root(1+x)=0 then dy/dx is equal to what?
3.Sin[(1/2)cos^-1(4/5)] is equal to what?
4.check the continuity of function f(x)=2x+3 at x=1.
5.check the continuity of the function
F(x)={e^x - 1 -x ; x not equal to 0
{1/2 ; x=0
on 1,2, use implicit diff, and then algebra to find dy/dx
3. draw the right triangle, you have two sides, the other you can calculate, and look at it, what is the sine?
4,5 use the definition of continuity. Perhaps you need to review that.