Question

How can the slope of the tangent line to a curve be determined using a calculator?

Answer 1

To determine the slope of the tangent line to a curve using a calculator, choose a point on the curve and find the coordinates of a second point close to it. Divide the difference in the y-coordinates by the difference in the x-coordinates to find the slope.

Step-by-step explanation:

To determine the slope of the tangent line to a curve using a calculator, follow these steps:

1. Choose a specific point on the curve where you want to find the slope.
2. Using the calculator, find the coordinates of a second point very close to the chosen point on the curve.
3. Calculate the difference in the y-coordinates between the two points, and divide it by the difference in the x-coordinates.
4. The result of this calculation will be the slope of the tangent line at the chosen point on the curve.