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# 1.1 Derivatives Basic Concepts – Rate of Changes

#### Average Rate of Change

• The average change of y with respect to x over the interval [a, b] is the gradient of the line connecting the points A(a,f(a)) and B(b,f(b)).

Note: [a,b] represents a range between a and b, inclusive. In other words, if x \in[a, b] , then \mid a \leq x \leq b . Also, we will always have a<b .

• It is given by:
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