Find the Equation of a Tangent Line Using the Definition of a Derivative
In this example, we find the equation of a tangent line by using the definition of a derivative (that is, we find the derivative the LONG WAY)!
Of course one could find the derivative using the shortcut methods but in the beginning of a calculus class, it is often required to use the definition. Of course, if you know the shortcuts, use those to verify your solution!
Note that the derivative is used to find the slope of the tangent line. After that we are simply using point-slope form of a line.
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