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Find the gradient to the normal of the curve \(y = x^{3} - x...

Find the gradient to the normal of the curve y=x3x2 at the point where x = 2.

A.

18

B.

18

C.

124

D.

1

Correct answer is A

Given : y=x3x2

dydx=3x22x

= 12 - 4 = 8

Recall, the tangent and the normal are perpendicular to each other and the product of the gradients of perpendicular lines = -1.

\implies \text{the gradient of the normal} = \frac{-1}{8}