# Thread: implicit differentiation

1. ## implicit differentiation

how do i show these curves are orthogonal?
y = ax^3
x^2+3y^2 = b

also,

how do I show that the sum of the x and y intercepts of any tangent line to the curve

x^.5+y^.5 = c^.5

Any help appreciated!

2. Originally Posted by amma0913
how do i show these curves are orthogonal?
y = ax^3
x^2+3y^2 = b
these curves are orthogonal if they are perpendicular to each other i.e.
$m_{1}m_{2}=-1$
find $m_{1}\ and\ m_{2}$ and multiply them.