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three different purposes for determining the derivative.

Sagot :

Domowilliamsidn

Answer:

A derivative is a slope function. If you want to find the slope anywhere along the function, you can.

Explanation:

Given: What is the purpose of a derivative?

A derivative is a slope function: m=f'(x=value). If you want to find the slope anywhere along the function, you can.

If you want to find a tangent line at a specific point along the function you can, using the slope and the point: y−y1=m(x−x1)

Answer:

See below

Step-by-step explanation:

A derivative is a slope function, so it allows you to find the slope anywhere along a function where it's continuous.

For example, the derivative of velocity is acceleration, which is applicable in real life.

You can also find a tangent line at a specific point by finding the slope of the function at that point and then using point-slope form [tex]y-y_1=m(x-x_1)[/tex] to get your tangent line.

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