Give an example of a rational number that is not an integer.

2.7 Derivatives and Rates of Change: Derivative = rate at which something changes = slope of the tangent line E.g. the rate at which velocity changes is acceleration Velocity= distance= ∆x =average time ∆t ∆x Instantaneous velocity: lim =derivativeof distance function ∆ t→0∆t In general, the derivative of f at x=a is: ∆ f f x − f (a) f a+∆ x )− f (a) =¿lim = lim ∆ x x→ a x−a ∆ x →0 ∆ x ' df f(a)= dx =lim ¿ x→a We denote ∆ x with h