How do i find the derivitive with respect to x of:
w = (x^2)+(y/x)
AND with respect to y of the same equation.
So in other words dw/dx and dw/dy?
am confused how to differentiate y/x?
Thanks
For all we know y might depend on x and thats why I think it is more complete to say,
$\displaystyle w = x^2+\frac{y}{x} \Rightarrow \frac{dw}{dx} = 2x + \frac1{x}\frac{dy}{dx} - \frac{y}{x^2} $
$\displaystyle w = x^2+\frac{y}{x} \Rightarrow \frac{dw}{dy} = 2x \frac{dx}{dy} + \frac1{x} - \frac{y}{x^2}\frac{dx}{dy} $