Tangents and Normals (HSC SSCE Mathematics Advanced): Flashcards

Same gradient as curve at that point

Use derivative $f'(a)$

$y - f(a) = f'(a)(x - a)$

$0$

Perpendicular to tangent

$-1$

m_N = -rac{1}{m_T}

Angle line makes with positive x-axis (anticlockwise)

$m = an heta$

Acute ($0° < heta < 90°$)