Equations of Tangents and Normals

The video tutorial covers finding gradients by differentiating functions, specifically focusing on y = x^2 and y = 4x^3 + 2x^2 - 3x + 2. It explains how to find equations of tangents and normals, solve quadratic equations, and determine where these lines intersect the axes. The tutorial also discusses finding tangents parallel to a given line and emphasizes the relationship between gradients of perpendicular lines.

Explain how to solve the quadratic equation derived from the tangent's gradient.

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How do you find the points where the tangent crosses the x-axis and y-axis?

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What are the coordinates of the points A, B, C, and D found in the tangent and normal equations?

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