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Use the trace function to generate points so your graph can be transferred as accurately as possible. (Your graph should look taller than the calculators since you will be using a square scale and your calculator is not.) Because of local linearity, we can say that a curve has a slope at any given point. We will find the slope of the curve at the x-values given in Chart #1 and then later GRAPH these values as a separate function, the slope function. To complete the table, first recall that when we discuss the slope of the curve at a point, we really mean the slope of the line tangent to the curve at that point. There are several ways to figure out this slope. We are going to use a function of our calculator called DRAW. (2nd function on PRGM key.) Press DRAW, then choose Option 5: Tangent. Enter the first x-value on the chart and press ENTER. (If there is already a number in for x, just enter a new number anyway and it will override it.) The calculator will draw the tangent line and give you the equation in slope intercept form. (Enter both the equation and the slope on the chart.) Repeat for each of the x-values and complete the chart. Notice that the slope changes as the x-value changes!! Therefore, the slope DEPENDS on the x-value, so it is a FUNCTION of x. (We will say Slope = m(x).) Transfer the values of the slope into the m(x) t-chart. Use a different colored pen or pencil to graph m(x) on the same graph as your original f(x). Clearly label the f(x) and m(x) graphs. Using the points on m(x), find the equation for m(x). Show your work for this under #10. Now go back and use the limit definition to find the DERIVATIVE OF f(x). Show this work under #11. What do you notice? 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