How to find the derivative of xy = in (x² + y ² )? show all workings and simplify! the answer is supposed to be yx^2+y^3 -2x / 2y - x^3-xy^2

Step-by-step explanation:

Keep in mind that the derivative of ln(u) = u'/u.  Here, our u is x^2 + y^2, so the derivative of that will fit in for u'.  Let's do this step by step:

Working on the left first, using the product rule, the derivative (implicite, of course!) is:

Now we will work on the right side, keeping in mind the rule above for derivatives of natural logs:

Now we are going to get rid of the donominator on the right by multiplication on both sides:

Distribute on the left to get

Now collect all the terms with dy/dx in them on one side and everything else goes on the other side:

Factor out the common dy/dx:

and divide on the left to isolate the dy/dx:

And there you go!

1260=3*6*7*10=3^2*2^2*7*5 perfect cude = 3^3*2^

step-by-step explanation:

in english this is

ex.15 pag.85 create. write in ten lines the continuation of the ballad of the five motanasi, using verbs to the imperfect and to the perfect compound. five stars

hope i with whatever it is that you need! : )