The difference quotient has something to do with the slope formula.

The difference quotient formula comes from a point in x and then the height in the point that shows the functions. We can find the secant line with the 2 points with point x then the second with x+ a number in this case h because variables are easier when numbers are ambiguous and because we can note that the distance from x to x+# is h.
To find the tangent line we need to use the difference quotient formula and get h to the limit 0 because tangent lines are derivatives.

To find the tangent line we need to use the difference quotient formula and get h to the limit 0 because tangent lines are derivatives.
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