Finding the slope of a linear function is straightforward. Furthermore the slope is the same at each point on the function. However this is not the case with non-linear functions. A non-linear ...

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 ...

To find the tangent line to a curve at a point P we first pick another point on the curve a little bit away from P. Call this point Q. Do this below by clicking "Another Point". Then connect these two ...

A very clear way to see how calculus helps us interpret economic information and relationships is to compare total, average, and marginal functions. Take, for example, a total cost function, TC: For a ...