Find the equation of the tangent and the normal to the following curves at the indicated points: y = x 4 – 6x 3 + 13x 2 – 10x + 5 at (0, 5)

Question

Philoid · Accepted Answer

finding the slope of the tangent by differentiating the curve

m(tangent) at (0,5) = – 10

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

y – 5 = – 10x

y + 10x = 5

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