Question

How to find the slope of the curve at the given point and an equation of the tangent line at the point?

Answer 1

This should help you:

http://math.stackexchange.com/questions/63606/finding-the-equation-of-tangent-line-to-the-curve-at-the-given-point

Hope I helped,
- Skai

Answer 2

\[y=x^2 - 3\] P[2,1]

Answer 3

1. Take the derivative of the function.

2. Evaluate it at the given x value (in this case, x=2).

3. Use the evaluation in step (2) as the slope for a line through (2,1). I prefer to use the point-slope form to get this answer, but you may not.