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For two points (x1,y1)(x_1,y_1)(x1,y1) and (x2,y2)(x_2,y_2)(x2,y2), the straight-line gradient is [...]\text{[...]}[...].
It starts with the limit definition of the derivative.
The derivative may be written as f′(x)f'(x)f′(x) or dydx\boxed{\frac{\mathrm{d}y}{\mathrm{d}x}}dxdy.
For two points (x1,y1)(x_1,y_1)(x1,y1) and (x2,y2)(x_2,y_2)(x2,y2), the straight-line gradient is m=y2−y1x2−x1\boxed{m=\frac{y_2-y_1}{x_2-x_1}}m=x2−x1y2−y1.
If P=(x,f(x))P=(x,f(x))P=(x,f(x)) and the horizontal separation is hhh, then Q=Q=Q= (x+h,f(x+h))\boxed{(x+h,f(x+h))}(x+h,f(x+h)).
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1.6.2 Differentiation Flashcards
24 flashcards on CCEA A Level Maths 1.6.2 Differentiation: the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2.