Find the equation of the tangent and the normal to the following curves at the indicated points:
xy = c² at (ct, c/t)

Question

Find the equation of the tangent and the normal to the following curves at the indicated points:xy = c2 at (ct, c/t)

Philoid · Accepted Answer

finding slope of the tangent by differentiating the curve

m(tangent) at =

normal is perpendicular to tangent so, m₁m₂ = – 1

m(normal) at =

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

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