The average rate of change in calculus refers to the slope of a secant line that connects two points. In calculus, this equation often involves functions, as opposed to simple points on a graph, as is common in algebraic... More »

Calculus was developed independently by both Isaac Newton and Gottfried Leibniz during the later part of the 1600s. For Newton, calculus was primarily a tool he needed for explaining the motion of the planets. It would b... More »

Average rate of change refers to the degree to which a quantity increases or decreases in comparison to changes in another quantity. The generic rate of change formula divides the change in the quantity of interest by th... More »

Find the equation for the tangent line to a curve by finding the derivative of the equation for the curve, then using that equation to find the slope of the tangent line at a given point. Finding the equation for the tan... More »

To find the slope of a line, you need the ratio of the change in y to the change in x. Even if there is no equation, you can still derive the slope by comparing two points on the line. After doing this, you can extrapola... More »

The rate of change, also known as the slope of a line, is a measure of how fast the line changes in the vertical direction compared to the horizontal direction. Typically, the vertical axis is the y-axis, and the horizon... More »

Average rate of change refers to the degree to which a quantity increases or decreases in comparison to changes in another quantity. The generic rate of change formula divides the change in the quantity of interest by th... More »