hey guys can you help me with this problem.

Given that x^2 + x – y^2 = 0

a) find dy/dx.

is it this:

$\displaystyle \frac{2x+1}{2y} = \frac{dy}{dx} $

b) Finddy/dtat x = 5 ifdx/dt= 2/3

what do I do here?

is it:

$\displaystyle \frac{dy}{dt} =\frac{dy}{dx} *\frac{dx}{dt} $

$\displaystyle \frac{dy}{dt} = \frac{2(5)+1}{2y} = \frac{dy}{dx} * \frac{2}{3}$?

$\displaystyle \frac{11}{3y} = \frac{dy}{dt} $