Implicit Differentiation

Find the slope of the tangent line to

$y^2+x^2=25$

at the point $(3,-4)$. Compare result with

$y=-\sqrt{25-x^2}$

Find $y^{\prime }$ if

$x^{3}siny+y=4x+3$

Find the tangent line at $(1,1)$ to

$y{x}^2+y^{2}x=2$

Find $y^{″}$ if

$y^2+x^2=25$