Finding the Value of the Derivative of a Curve Using Differentiation

The video tutorial explains how to solve a calculus problem involving differentiation to find the maximum and minimum points of a curve. The equation y = X^3 - 27X + K is given, where K is a constant. The process involves differentiating the equation, solving for X values, and substituting these values back into the equation to find the Y coordinates B and D. The final task is to calculate the difference B - D, which is shown to be 108. The tutorial also outlines the marking scheme for the problem.

What is the significance of the constant K in the equation?

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Calculate the difference in height between points B and D.

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What are the steps to simplify the expression 54 + K - (54 - K)?

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