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You just have to differentiate both sides of the equation with respect to x
Left side becomes simply derivative of y with respect to x, for the right side u must use chain rule
Alternatively you can separate the variables
Either way you'll have to differentiate both sides of the equation, you can't just reduce the equation into a form of
Such forms where you can't express y purely in terms of x are called as implicit,
and we use implicit differentiation, in this method we simply differentiate the whole equation with respect to the independent variable and re arrange the dy/dx term
Does that makes sense to you?
may i ask, is it always with respect to x? it says i need y'
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Generally it is with respect to x, most of the times you are required to find
Besides think about it, your equation only has 2 variables, x and y, so you can only find derivative of y with respect to x or with respect to y,
derivative of y with respect to y would be 1 so that's kind of meaningless, so of course u have to find derivative of y with respect to x
Anyways, try differentiation both sides of equation with respect to x, let's see where this gets you to
ok i think i got it. ill try again if my answer would be incorrect. thanks!
Ok show me your work once you've attempted the question