Final answer:
To find where the tangent line is horizontal for a function, a Derivative calculator is used to compute the function's derivative and locate where it equals zero, indicating horizontal tangency.
Step-by-step explanation:
The tool that can be used to find where the tangent line is horizontal for a given function is a Derivative calculator(A). To find the horizontal tangent lines for a function, we follow these steps:
- Find the derivative of the function. This corresponds to finding the slope of the tangent line to the function's curve at a given point.
- Set the derivative equal to zero and solve for the variable. This step determines where the slope of the tangent line is zero, which is where the tangent line is horizontal.
- Verify the points found in step 2 on the original function to determine the actual position of the tangent line, either at some positive value (d) or negative value (c).
Using a derivative calculator simplifies this process, providing quick and accurate results for where a function has horizontal tangents.