What is the gradient of the line through (x1,y1)(x_1,y_1)(x1,y1) and (x2,y2)(x_2,y_2)(x2,y2)?
If f′(x)>0\boxed{f'(x)>0}f′(x)>0, the curve is increasing; if f′(x)<0f'(x)<0f′(x)<0, the curve is decreasing.
Its graph is horizontal, so its gradient is zero.
m=y2−y1x2−x1m=\dfrac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1
The notation dydx\boxed{\dfrac{dy}{dx}}dxdy denotes the derivative when the original equation is written as y=f(x)y=f(x)y=f(x), while ddx\dfrac{d}{dx}dxd is an instruction to differentiate with respect to xxx.
1.6.1 Differentiation Flashcards
Flashcards for CCEA A Level Maths 1.6.1 Differentiation, covering the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2. 22 cards, matched to the CCEA A Level Maths (2210) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.