Learn the definition of a derivative. Use the definition of the derivative to evaluate the derivative of various functions.
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The vector equation of a line is another form of interpreting a line but now with a different structure called a vector. Again, we will see a parameter in this form. A single parameter indicating that we are representing a linear relationship.
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What are first differences? When given a function or a table of values representing a function, looking at the first difference can help you determine what kind of relationships there is between the variables and hence what function the points represent.