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: at (2, – 2)

Philoid · Accepted Answer

finding the slope of the tangent by differentiating the curve

m(tangent) at (2, – 2) = – 2

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

y + 2 = – 2(x – 2)

y + 2x = 2

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

2y + 4 = x – 2

2y – x + 6 = 0