The Slope Of a Curve

The Slope Of a Curve:

Consider the graph:

$2tdtso1$

The slope of the curve is the slope of the secant line between point A and another point P on the graph.

$2tdtso2$

$2tdtso3$

Notice that h can change and with it the location of point P, therefore h is the limiting factor of the slope of the curve. As h gets close to point A, the slope of the curve becomes the tangent of the graph at point A.

$2tdtso4$

The tangent line of f at point A is:

$2tdtso5$

Subject:

Calculus [1]

Subject X2:

Calculus [1]