Find the equation of the normal to the curve ay 2 = x 3 at the point (am 2 , am 3 ).

Question

Philoid · Accepted Answer

finding the slope of the tangent by differentiating the curve

m(tangent) at (am², am³) is

normal is perpendicular to tangent so, m₁m₂ = – 1

m(normal) at (am², am³) is

equation of normal is given by y – y₁ = m(normal)(x – x₁)