Gradients, Tangents & Normals (AQA A-Level Mathematics): Flashcards

Straight line touching curve only once at that point

Its tangent at that point

Find gradient function $\frac{dy}{dx}$

Find both coordinates of the point

Use point & gradient in $y - y_1 = m(x - x_1)$

$-\frac{1}{m}$

$3x^2 + 6$

$8x + 1$

$15x^{\frac{3}{2}}$

$-\sqrt{2} < x < \sqrt{2}$