Q10 of 292 Page 564

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

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

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

, where

Find the equation of the tangent to the curve

Show that the equation of the tangent to the hyperbola at is .