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Example Question #1 : Calculus I — Derivatives
Find the slope of the line tangent to the -intercept of the parabola:
To find the slope of a line tangent to a parabola at a specific point, find the derivative of the parabola's equation, then substitute the -coordinate of the specific point in the new equation.
In this case, it helps to expand the equation before taking the derivative:
Now take the derivative of the expanded equation:
Since the -intercept is the point where the -coordinate is , substitute into the equation for .