# Definition of the Derivative Part 2

Taught by TheMathDude
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Lesson Summary:

In this lesson, the definition of the derivative is explained as the fundamental notion of Calculus in terms of a limit of the difference quotient and the Cartesian plot of secant lines vs tangent lines to a function. The transcript illustrates how the slope of the secant line approaches the slope of the tangent line as H approaches zero, resulting in a finite number instead of being undefined. The graphical and algebraic interpretations of this concept are also discussed. Overall, this lesson provides a clear understanding of the definition of the derivative and its relationship to secant and tangent lines.

Lesson Description:

Be able to explain the definition of the derivative (THE fundamental notion of Calculus) in terms of a limit of the difference quotient and more importantly the Cartesian plot of secant lines vs tangent line to a function.

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