Copy of Slope of Tangent Line
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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.
Slope of Tangent Line
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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?