Find the equations of the tangent and the normal to the given curve at the indicated point for

Question

Find the equations of the tangent and the normal to the given curve at the indicated point for at the point where x = 1

Philoid · Accepted Answer

m at (x = 1) = 2

y at (x = 1) = (1)⁴ – 6(1)³ + 13(1)² – 10(1) + 5 = 3

Tangent : y – b = m(x – a)

y – 3 = 2(x – 1)

2x – y + 1 = 0

Normal :

x + 2y – 7 = 0