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differentiation question c3

Please could I have some help this question
A= y + 1/ ( y +3), find dA/ dy simplifying the answer
1 -1/(y+3)^2
Reply 2
Original post by Zarantulas
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.

Oh and then simplify your answer.
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.
Original post by jamestg
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.

Oh and then simplify your answer.


It'd be easier to write as a negative power and use the chain rule.
Reply 5
Original post by NotNotBatman
It'd be easier to write as a negative power and use the chain rule.


Yep, but I usually want to avoid negative powers just for simplicity and both methods would take about the same time.

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