# Slope of Tangent Line

- Author:
- Bryan Christian

- Topic:
- Calculus

Given the quadratic function in blue and the line tangent to the curve at A in red, move point A and investigate what happens to the gradient of the tangent line.

1. What value represents the gradient of the tangent line?
2. What is the gradient of the tangent line at x = 0.5?
3. What is the significance of your answer to question 2?
4. The equation of the curve is , what is the first derivative of the function?