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10 cards from this deck
m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}m=x2−x1y2−y1
Straight line intersecting curve at exactly one point
Gradient of tangent line at that point
Zero
Straight line through two distinct points on curve
f(c+h)−f(c)h\frac{f(c+h) - f(c)}{h}hf(c+h)−f(c)
Secant approximates tangent; gradient approaches tangent gradient
The gradient function of f(x)f(x)f(x)
f′(x)f'(x)f′(x) or dydx\frac{dy}{dx}dxdy or y′y'y′
Gradient of tangent to curve at x=ax = ax=a
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