Definition of Derivative: Example 1

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In this video I go over a useful example on the definition of a derivative. I did a video on the definition of derivative just over a year ago and you can see that in the video link below.


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Definition of Derivative: Example 1

Definition of Derivative Example 1.jpg

Example 1.

(a) Find the derivative of the function:

f(x) = x2-8x + 9

(b) Find an equation of the tangent line to f(x) at the point (3, -6).

Example 2.

The position of a particle is given by the equation of motion:

image.png

where t is measured in seconds and s in meters. Find the velocity and the speed after 2 seconds.


Solution to Example 1

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