Please could I have some help this question A= y + 1/ ( y +3), find dA/ dy simplifying the answer
Use the quotient rule. In this case:
If we say, u=y+1 and v=y+3, differentiate those two equations separately.
Now, multiply u' (the derivative of u) by v and multiply v' by u. Then all you need to do to make it correct when using the quotient rule is have what you've just worked out over v^2.
You have used quotient rule, so you differentiate the top and bottom which both should be dy/dx for both. So you should get (2dy/dx)/(y+3)^2 Just check this is right, haven't done this in a while.
If we say, u=y+1 and v=y+3, differentiate those two equations separately.
Now, multiply u' (the derivative of u) by v and multiply v' by u. Then all you need to do to make it correct when using the quotient rule is have what you've just worked out over v^2.
Oh and then simplify your answer.
It'd be easier to write as a negative power and use the chain rule.