Find the equations of the tangent and the normal to the given curve at – InterviewSolution

1.

Find the equations of the tangent and the normal to the given curve at the indicated point fory = x3 at P(1, 1)

Answer»

m : dy/dx = 3x²

m at (1, 1) = 3

Tangent : y – b = m(x – a)

y – 1 = 3(x – 1)

y = 3x – 2

Normal : y - b = -1/m(x - a)

y - 1 = -1/3(x - 1)

x + 3y = 4

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