Final answer:
To determine the equation of the tangent plane to a surface at a specific point, find the slope of the curve at that point by following steps.
Step-by-step explanation:
The equation of the tangent plane to a surface S at a specific point can be determined by finding the slope of a curve at that point. The slope of a curve is equal to the slope of a straight line tangent to the curve at that point. To find the equation of the tangent plane, follow these steps:
- Find the tangent line to the curve at the specific point.
- Determine the endpoints of the tangent line.
- Plug these endpoints into the equation to solve for the slope.