Find the equation of the tangent and the normal to the following curves at the indicated points:
at (x₀, y₀)

Question

Find the equation of the tangent and the normal to the following curves at the indicated points: at (x0, y0)

Philoid · Accepted Answer

finding the slope of the tangent by differentiating the curve

m(tangent) at (x₀, y₀) =

normal is perpendicular to tangent so, m₁m₂ = – 1

m(normal) at (x₁, y₁) =

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

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