AM-2145

Tangents and normals

A Math · Secondary 4 · Medium · Tangents and normals

The curve

y = x^3 - 3x

has a stationary point at

x = 1

. Find the gradient of the normal to the curve at this point.

The normal is the vertical line $x = 1$ (gradient undefined).
Gradient of the normal is $0$ .
Gradient of the normal is $1$ .
Gradient of the normal is $-1$ .

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