Learn to find the tangent line through the point of the function

The video tutorial explains how to find the tangent line to a curve at a given point, even if the point is not on the graph. It covers the use of derivatives to determine the slope of the tangent line and the process of solving for the equation of the tangent line. The tutorial also includes a graphical interpretation of the problem, showing how to find the X and Y values where the tangent line intersects the curve. Finally, it demonstrates how to calculate the slopes for the tangent lines at specific points.

What is the process to find the tangent line to a curve at a given point?

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Explain the significance of the derivative in finding the tangent line.

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How do you determine if a point lies on the graph of a function?

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What steps are involved in solving for the X values where the tangent lines intersect the function?

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Describe how to find the Y values corresponding to the X values of the tangent lines.

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What is the equation of the tangent line derived from the function y = X^3 - 9X?

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How can you graphically represent the tangent lines to a function?

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