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: y = x 2 at (0, 0)

Philoid · Accepted Answer

finding the slope of the tangent by differentiating the curve

m(tangent) at (x = 0) = 0

normal is perpendicular to tangent so, m₁m₂ = – 1

We can see that the slope of normal is not defined

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

y = 0

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

x = 0