Find the equation of the tangent and the normal to the following curves at the indicated points:

Question

Find the equation of the tangent and the normal to the following curves at the indicated points: x 2 = 4y at (2, 1)

Philoid · Accepted Answer

finding the slope of the tangent by differentiating the curve

m(tangent) at (2,1) = 1

normal is perpendicular to tangent so, m₁m₂ = – 1

m(normal) at (2,1) = – 1

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

y – 1 = 1(x – 2)

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

y – 1 = – 1(x – 2)