Find \(\ds \lim_{h\to 0}\frac{f(1+h)-f(1)}{h}\) where \(\ds f(x)=\frac{3x+1}{x-2}\text{.}\) What does the result in (a) tell you about the tangent line to the graph ...
When a relationship between two variables is defined by a curve it means that the gradient, or rate of change is always varying. An average speed for a journey can be found from a distance-time graph ...
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