Tangents and Normals (VCE SSCE Mathematical Methods): Quizzes

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Tangents and Normals
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What is a tangent to a curve at a point?

Line touching curve at one point

What is the tangent equation at (x1,y1)(x_1, y_1)?

yy1=f(x1)(xx1)y - y_1 = f'(x_1)(x - x_1)

What is a normal to a curve?

Line perpendicular to the tangent

For perpendicular lines with gradients m1m_1 and m2m_2, what is m1m2m_1 m_2?

1-1

If the tangent gradient is 44, what is the normal gradient?

- rac{1}{4}

What does the derivative equal at a point on the curve?

Gradient of the tangent

When does a vertical tangent occur?

Function continuous, f(x)oinftyf'(x) o infty

What is a cusp on a curve?

Sharp point, f(x)opminftyf'(x) o pminfty

What phrase describes finding normal gradient from tangent gradient?

Flip and flip the sign

If tangent gradient is - rac{2}{3}, what is normal gradient?

rac{3}{2}

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