A-Level Maths OCR B (MEI) (H640)

Understand and use the derivative of $f(x)$ as the gradient of the tangent to the graph of $y = f(x)$ at a general point $(x, y)$.
Know that the gradient function $\dfrac{dy}{dx}$ gives the gradient of the curve and measures the rate of change of $y$ with respect to $x$.

Be able to deduce the units of rate of change for graphs modelling real situations. The term derivative of a function.

Notation:

• $\dfrac{dy}{dx} = \lim\limits_{δx→0} \dfrac{δy}{δx}$
• $f'(x) = \lim\limits_{h→0} \Bigg(\dfrac{f(x+h) - f(x)}{h} \Bigg)$